210100102101 has 10 divisors (see below), whose sum is σ = 313853239062. Its totient is φ = 140066734680.

The previous prime is 210100102097. The next prime is 210100102111. The reversal of 210100102101 is 101201001012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 150040797201 + 60059304900 = 387351^2 + 245070^2 .

It is not a de Polignac number, because 210100102101 - 2² = 210100102097 is a prime.

It is a super-2 number, since 2×210100102101² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100102111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1296914130 + ... + 1296914291.

Almost surely, 2^210100102101 is an apocalyptic number.

It is an amenable number.

210100102101 is a deficient number, since it is larger than the sum of its proper divisors (103753136961).

210100102101 is an equidigital number, since it uses as much as digits as its factorization.

210100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593828433 (or 2593828424 counting only the distinct ones).

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

Adding to 210100102101 its reverse (101201001012), we get a palindrome (311301103113).

The spelling of 210100102101 in words is "two hundred ten billion, one hundred million, one hundred two thousand, one hundred one".