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10121112000021 = 3111722346141171
BaseRepresentation
bin1001001101001000000101…
…0010010001011000010101
31022211120100200211022120210
42103102001102101120111
52311311014133000041
633305324043320033
72063140406352261
oct223220122213025
938746320738523
1010121112000021
11325238095a220
121175657b20019
13585555835569
1426dc160190a1
15128417850016
hex93481491615

10121112000021 has 48 divisors (see below), whose sum is σ = 16318471454208. Its totient is φ = 5522175225600.

The previous prime is 10121112000011. The next prime is 10121112000029. The reversal of 10121112000021 is 12000021112101.

It is not a de Polignac number, because 10121112000021 - 27 = 10121111999893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121111999970 and 10121112000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121112000029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22851235 + ... + 23289936.

It is an arithmetic number, because the mean of its divisors is an integer number (339968155296).

Almost surely, 210121112000021 is an apocalyptic number.

10121112000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121112000021 is a deficient number, since it is larger than the sum of its proper divisors (6197359454187).

10121112000021 is a wasteful number, since it uses less digits than its factorization.

10121112000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46141242 (or 46141225 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121112000021 its reverse (12000021112101), we get a palindrome (22121133112122).

The spelling of 10121112000021 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 17 23 33 51 69 187 253 289 391 561 759 867 1173 3179 4301 6647 9537 12903 19941 73117 219351 46141171 138423513 507552881 784399907 1061246933 1522658643 2353199721 3183740799 8628398977 11673716263 13334798419 18041197861 25885196931 35021148789 40004395257 54123593583 146682782609 198453176471 306700363637 440048347827 595359529413 920101090911 3373704000007 10121112000021