100121011020113 has 16 divisors (see below), whose sum is σ = 101173881416400. Its totient is φ = 99069358080000.

The previous prime is 100121011020053. The next prime is 100121011020119. The reversal of 100121011020113 is 311020110121001.

It can be written as a sum of positive squares in 8 ways, for example, as 2539251811009 + 97581759209104 = 1593503^2 + 9878348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121011020113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121011020119) 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, 2979686513 + ... + 2979720113.

It is an arithmetic number, because the mean of its divisors is an integer number (6323367588525).

Almost surely, 2^{100121011020113} is an apocalyptic number.

It is an amenable number.

100121011020113 is a deficient number, since it is larger than the sum of its proper divisors (1052870396287).

100121011020113 is a wasteful number, since it uses less digits than its factorization.

100121011020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50788.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100121011020113 its reverse (311020110121001), we get a palindrome (411141121141114).

The spelling of 100121011020113 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, twenty thousand, one hundred thirteen".