100112101002121 has 16 divisors (see below), whose sum is σ = 108280301665536. Its totient is φ = 92010686530176.

The previous prime is 100112101002077. The next prime is 100112101002197. The reversal of 100112101002121 is 121200101211001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100112101002121 - 2²⁷ = 100111966784393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100112101002421) 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, 72628096 + ... + 73993678.

It is an arithmetic number, because the mean of its divisors is an integer number (6767518854096).

Almost surely, 2^{100112101002121} is an apocalyptic number.

It is an amenable number.

100112101002121 is a deficient number, since it is larger than the sum of its proper divisors (8168200663415).

100112101002121 is a wasteful number, since it uses less digits than its factorization.

100112101002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390032.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112101002121 its reverse (121200101211001), we get a palindrome (221312202213122).

The spelling of 100112101002121 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, two thousand, one hundred twenty-one".