100120121101 has 64 divisors (see below), whose sum is σ = 139678963200. Its totient is φ = 69222988800.

The previous prime is 100120121081. The next prime is 100120121131. The reversal of 100120121101 is 101121021001.

It is not a de Polignac number, because 100120121101 - 2⁵ = 100120121069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120121131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6640111 + ... + 6655171.

It is an arithmetic number, because the mean of its divisors is an integer number (2182483800).

Almost surely, 2^100120121101 is an apocalyptic number.

100120121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120121101 is a deficient number, since it is larger than the sum of its proper divisors (39558842099).

100120121101 is a wasteful number, since it uses less digits than its factorization.

100120121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15350.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100120121101 its reverse (101121021001), we get a palindrome (201241142102).

It can be divided in two parts, 1001 and 20121101, that added together give a palindrome (20122102).

The spelling of 100120121101 in words is "one hundred billion, one hundred twenty million, one hundred twenty-one thousand, one hundred one".