100020101121 has 24 divisors (see below), whose sum is σ = 145109105856. Its totient is φ = 66387006240.

The previous prime is 100020101089. The next prime is 100020101179. The reversal of 100020101121 is 121101020001.

It is a happy number.

It is not a de Polignac number, because 100020101121 - 2⁵ = 100020101089 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 (100020101191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4274971 + ... + 4298303.

It is an arithmetic number, because the mean of its divisors is an integer number (6046212744).

Almost surely, 2^100020101121 is an apocalyptic number.

It is an amenable number.

100020101121 is a deficient number, since it is larger than the sum of its proper divisors (45089004735).

100020101121 is a wasteful number, since it uses less digits than its factorization.

100020101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25413 (or 25410 counting only the distinct ones).

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

Adding to 100020101121 its reverse (121101020001), we get a palindrome (221121121122).

The spelling of 100020101121 in words is "one hundred billion, twenty million, one hundred one thousand, one hundred twenty-one".