100000122121 has 32 divisors (see below), whose sum is σ = 106643174400. Its totient is φ = 93631299840.

The previous prime is 100000122083. The next prime is 100000122127. The reversal of 100000122121 is 121221000001.

It is a cyclic number.

It is not a de Polignac number, because 100000122121 - 2¹⁵ = 100000089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000122098 and 100000122107.

It is not an unprimeable number, because it can be changed into a prime (100000122127) 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, 35853795 + ... + 35856583.

It is an arithmetic number, because the mean of its divisors is an integer number (3332599200).

Almost surely, 2^100000122121 is an apocalyptic number.

It is an amenable number.

100000122121 is a deficient number, since it is larger than the sum of its proper divisors (6643052279).

100000122121 is a wasteful number, since it uses less digits than its factorization.

100000122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100000122121 its reverse (121221000001), we get a palindrome (221221122122).

The spelling of 100000122121 in words is "one hundred billion, one hundred twenty-two thousand, one hundred twenty-one".