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10021121012120 = 2355916943250619
BaseRepresentation
bin1001000111010011100101…
…0110111011000110011000
31022111000021011010211121112
42101310321112323012120
52303141223434341440
633151350041355452
72053000502110151
oct221647126730630
938430234124545
1010021121012120
113213a2a61a039
12115a1b1198b88
13578cabb5cb2a
1426904c262928
15125a142e5965
hex91d395bb198

10021121012120 has 64 divisors (see below), whose sum is σ = 22931128512000. Its totient is φ = 3940260304768.

The previous prime is 10021121012057. The next prime is 10021121012137. The reversal of 10021121012120 is 2121012112001.

10021121012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10021121012095 and 10021121012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39860171 + ... + 40110789.

It is an arithmetic number, because the mean of its divisors is an integer number (358298883000).

Almost surely, 210021121012120 is an apocalyptic number.

10021121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021121012120 is an abundant number, since it is smaller than the sum of its proper divisors (12910007499880).

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

10021121012120 is a wasteful number, since it uses less digits than its factorization.

10021121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267632 (or 267628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021121012120 its reverse (2121012112001), we get a palindrome (12142133124121).

The spelling of 10021121012120 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 16943 33886 67772 84715 135544 169430 250619 338860 501238 677720 999637 1002476 1253095 1999274 2004952 2506190 3998548 4998185 5012380 7997096 9996370 10024760 14786521 19992740 29573042 39985480 59146084 73932605 118292168 147865210 295730420 591460840 4246237717 8492475434 16984950868 21231188585 33969901736 42462377170 84924754340 169849508680 250528025303 501056050606 1002112101212 1252640126515 2004224202424 2505280253030 5010560506060 10021121012120