100201001121 has 12 divisors (see below), whose sum is σ = 155868224148. Its totient is φ = 61662154464.

The previous prime is 100201001113. The next prime is 100201001161. The reversal of 100201001121 is 121100102001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12191472225 + 88009528896 = 110415^2 + 296664^2 .

It is not a de Polignac number, because 100201001121 - 2³ = 100201001113 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 (100201001111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428209290 + ... + 428209523.

It is an arithmetic number, because the mean of its divisors is an integer number (12989018679).

Almost surely, 2^100201001121 is an apocalyptic number.

It is an amenable number.

100201001121 is a deficient number, since it is larger than the sum of its proper divisors (55667223027).

100201001121 is a wasteful number, since it uses less digits than its factorization.

100201001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856418832 (or 856418829 counting only the distinct ones).

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

Adding to 100201001121 its reverse (121100102001), we get a palindrome (221301103122).

The spelling of 100201001121 in words is "one hundred billion, two hundred one million, one thousand, one hundred twenty-one".