10100102121120 has 192 divisors, whose sum is σ = 35514778489344. Its totient is φ = 2391567467520.

The previous prime is 10100102121107. The next prime is 10100102121127. The reversal of 10100102121120 is 2112120100101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100102121096 and 10100102121105.

It is not an unprimeable number, because it can be changed into a prime (10100102121127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22015962 + ... + 22470041.

It is an arithmetic number, because the mean of its divisors is an integer number (184972804632).

Almost surely, 2^{10100102121120} is an apocalyptic number.

10100102121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100102121120 is an abundant number, since it is smaller than the sum of its proper divisors (25414676368224).

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

10100102121120 is a wasteful number, since it uses less digits than its factorization.

10100102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44486075 (or 44486067 counting only the distinct ones).

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

Adding to 10100102121120 its reverse (2112120100101), we get a palindrome (12212222221221).

The spelling of 10100102121120 in words is "ten trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".