10100121201120 has 96 divisors (see below), whose sum is σ = 31834446850080. Its totient is φ = 2691751680000.

The previous prime is 10100121201119. The next prime is 10100121201133. The reversal of 10100121201120 is 2110212100101.

10100121201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10100121201120² (a number of 27 digits) contains 22 as substring.

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 = 10100121201096 and 10100121201105.

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, 5502631 + ... + 7104870.

It is an arithmetic number, because the mean of its divisors is an integer number (331608821355).

Almost surely, 2^{10100121201120} is an apocalyptic number.

10100121201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100121201120 is an abundant number, since it is smaller than the sum of its proper divisors (21734325648960).

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

10100121201120 is a wasteful number, since it uses less digits than its factorization.

10100121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609188 (or 12609180 counting only the distinct ones).

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

Adding to 10100121201120 its reverse (2110212100101), we get a palindrome (12210333301221).

The spelling of 10100121201120 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".