100100022101121 has 32 divisors (see below), whose sum is σ = 156657136691968. Its totient is φ = 55653623596800.

The previous prime is 100100022101117. The next prime is 100100022101143. The reversal of 100100022101121 is 121101220001001.

It is not a de Polignac number, because 100100022101121 - 2² = 100100022101117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100022101097 and 100100022101106.

It is not an unprimeable number, because it can be changed into a prime (100100022101161) 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, 113547591 + ... + 114425763.

It is an arithmetic number, because the mean of its divisors is an integer number (4895535521624).

Almost surely, 2^{100100022101121} is an apocalyptic number.

It is an amenable number.

100100022101121 is a deficient number, since it is larger than the sum of its proper divisors (56557114590847).

100100022101121 is a wasteful number, since it uses less digits than its factorization.

100100022101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024921.

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

Adding to 100100022101121 its reverse (121101220001001), we get a palindrome (221201242102122).

The spelling of 100100022101121 in words is "one hundred trillion, one hundred billion, twenty-two million, one hundred one thousand, one hundred twenty-one".