100101121120121 has 16 divisors (see below), whose sum is σ = 109458458926080. Its totient is φ = 90786688114320.

The previous prime is 100101121120111. The next prime is 100101121120151. The reversal of 100101121120121 is 121021121101001.

It is not a de Polignac number, because 100101121120121 - 2⁴² = 95703074609017 is a prime.

It is a super-2 number, since 2×100101121120121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101121120096 and 100101121120105.

It is not an unprimeable number, because it can be changed into a prime (100101121120111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61994396 + ... + 63588578.

It is an arithmetic number, because the mean of its divisors is an integer number (6841153682880).

Almost surely, 2^{100101121120121} is an apocalyptic number.

100101121120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101121120121 is a deficient number, since it is larger than the sum of its proper divisors (9357337805959).

100101121120121 is a wasteful number, since it uses less digits than its factorization.

100101121120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607636.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101121120121 its reverse (121021121101001), we get a palindrome (221122242221122).

The spelling of 100101121120121 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".