100011202101 has 72 divisors (see below), whose sum is σ = 154029384600. Its totient is φ = 62520532992.

The previous prime is 100011202097. The next prime is 100011202111. The reversal of 100011202101 is 101202110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30362714001 + 69648488100 = 174249^2 + 263910^2 .

It is not a de Polignac number, because 100011202101 - 2² = 100011202097 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011202111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218842665 + ... + 218843121.

Almost surely, 2^100011202101 is an apocalyptic number.

It is an amenable number.

100011202101 is a deficient number, since it is larger than the sum of its proper divisors (54018182499).

100011202101 is a wasteful number, since it uses less digits than its factorization.

100011202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1021 counting only the distinct ones).

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

Adding to 100011202101 its reverse (101202110001), we get a palindrome (201213312102).

The spelling of 100011202101 in words is "one hundred billion, eleven million, two hundred two thousand, one hundred one".