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101012220021000 = 2335397347121031
BaseRepresentation
bin10110111101111010111101…
…011111100000100100001000
3111020122200012021212100012010
4112331322331133200210020
5101214441011311133000
6554500212342415520
730163614656306541
oct2675727537404410
9436580167770163
10101012220021000
112a205050900782
12b3b4a181315a0
134449547020432
141ad303618b4c8
15ba285dc67d50
hex5bdebd7e0908

101012220021000 has 128 divisors (see below), whose sum is σ = 318407180232960. Its totient is φ = 26658895104000.

The previous prime is 101012220020911. The next prime is 101012220021019. The reversal of 101012220021000 is 120022210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173269516 + ... + 173851515.

It is an arithmetic number, because the mean of its divisors is an integer number (2487556095570).

Almost surely, 2101012220021000 is an apocalyptic number.

101012220021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012220021000 is an abundant number, since it is smaller than the sum of its proper divisors (217394960211960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012220021000 is a wasteful number, since it uses less digits than its factorization.

101012220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347121152 (or 347121138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012220021000 its reverse (120022210101), we get a palindrome (101132242231101).

The spelling of 101012220021000 in words is "one hundred one trillion, twelve billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 750 776 970 1000 1164 1455 1500 1940 2328 2425 2910 3000 3880 4850 5820 7275 9700 11640 12125 14550 19400 24250 29100 36375 48500 58200 72750 97000 145500 291000 347121031 694242062 1041363093 1388484124 1735605155 2082726186 2776968248 3471210310 4165452372 5206815465 6942420620 8330904744 8678025775 10413630930 13884841240 17356051550 20827261860 26034077325 33670740007 34712103100 41654523720 43390128875 52068154650 67341480014 69424206200 86780257750 101012220021 104136309300 130170386625 134682960028 168353700035 173560515500 202024440042 208272618600 260340773250 269365920056 336707400070 347121031000 404048880084 505061100105 520681546500 673414800140 808097760168 841768500175 1010122200210 1041363093000 1346829600280 1683537000350 2020244400420 2525305500525 3367074000700 4040488800840 4208842500875 5050611001050 6734148001400 8417685001750 10101222002100 12626527502625 16835370003500 20202444004200 25253055005250 33670740007000 50506110010500 101012220021000