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101022101012220 = 22355214051797747
BaseRepresentation
bin10110111110000100001010…
…011100011111111011111100
3111020200121200220200200221220
4112332010022130133323330
5101220121230324342340
6554504525034353340
730164414560326243
oct2676041234377374
9436617626620856
10101022101012220
112a209261420723
12b3b691528b850
13444a46016cbbb
141ad36d25b195a
15ba2c3b468ed0
hex5be10a71fefc

101022101012220 has 96 divisors (see below), whose sum is σ = 283475118479616. Its totient is φ = 26880849216000.

The previous prime is 101022101012149. The next prime is 101022101012281. The reversal of 101022101012220 is 22210101220101.

It is a super-2 number, since 2×1010221010122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101022101012220.

It is a congruent number.

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, 126235387 + ... + 127033133.

It is an arithmetic number, because the mean of its divisors is an integer number (2952865817496).

Almost surely, 2101022101012220 is an apocalyptic number.

101022101012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022101012220 is an abundant number, since it is smaller than the sum of its proper divisors (182453017467396).

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

101022101012220 is a wasteful number, since it uses less digits than its factorization.

101022101012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802331 (or 802329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022101012220 its reverse (22210101220101), we get a palindrome (123232202232321).

The spelling of 101022101012220 in words is "one hundred one trillion, twenty-two billion, one hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 521 1042 1563 2084 2605 3126 4051 5210 6252 7815 8102 10420 12153 15630 16204 20255 24306 31260 40510 48612 60765 81020 121530 243060 797747 1595494 2110571 2393241 3190988 3988735 4221142 4786482 6331713 7977470 8442284 9572964 10552855 11966205 12663426 15954940 21105710 23932410 25326852 31658565 42211420 47864820 63317130 126634260 415626187 831252374 1246878561 1662504748 2078130935 2493757122 3231673097 4156261870 4987514244 6234392805 6463346194 8312523740 9695019291 12468785610 12926692388 16158365485 19390038582 24937571220 32316730970 38780077164 48475096455 64633461940 96950192910 193900385820 1683701683537 3367403367074 5051105050611 6734806734148 8418508417685 10102210101222 16837016835370 20204420202444 25255525253055 33674033670740 50511050506110 101022101012220