100102001121 has 64 divisors (see below), whose sum is σ = 151706822400. Its totient is φ = 65223180288.

The previous prime is 100102001107. The next prime is 100102001171. The reversal of 100102001121 is 121100201001.

It is a happy number.

It is not a de Polignac number, because 100102001121 - 2⁶ = 100102001057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100102001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121041910 + ... + 121042736.

It is an arithmetic number, because the mean of its divisors is an integer number (2370419100).

Almost surely, 2^100102001121 is an apocalyptic number.

It is an amenable number.

100102001121 is a deficient number, since it is larger than the sum of its proper divisors (51604821279).

100102001121 is a wasteful number, since it uses less digits than its factorization.

100102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102001121 its reverse (121100201001), we get a palindrome (221202202122).

The spelling of 100102001121 in words is "one hundred billion, one hundred two million, one thousand, one hundred twenty-one".