210210100010100 has 108 divisors (see below), whose sum is σ = 667232283914560. Its totient is φ = 55346456692800.

The previous prime is 210210100010089. The next prime is 210210100010101. The reversal of 210210100010100 is 1010001012012.

It is a happy number.

It is a super-2 number, since 2×210210100010100² (a number of 29 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 (210210100010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1478199646 + ... + 1478341845.

Almost surely, 2^{210210100010100} is an apocalyptic number.

210210100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210100010100 is an abundant number, since it is smaller than the sum of its proper divisors (457022183904460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210210100010100 is a wasteful number, since it uses less digits than its factorization.

210210100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956541590 (or 2956541580 counting only the distinct ones).

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

Adding to 210210100010100 its reverse (1010001012012), we get a palindrome (211220101022112).

The spelling of 210210100010100 in words is "two hundred ten trillion, two hundred ten billion, one hundred million, ten thousand, one hundred".