10201010100 has 72 divisors (see below), whose sum is σ = 29807238048. Its totient is φ = 2693328000.

The previous prime is 10201010093. The next prime is 10201010119. The reversal of 10201010100 is 101010201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138034 + ... + 198633.

Almost surely, 2^10201010100 is an apocalyptic number.

10201010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201010100 is an abundant number, since it is smaller than the sum of its proper divisors (19606227948).

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

10201010100 is a wasteful number, since it uses less digits than its factorization.

10201010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336785 (or 336778 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10201010100 its reverse (101010201), we get a palindrome (10302020301).

It can be divided in two parts, 102010 and 10100, that multiplied together give a cube (1030301000 = 1010³).

The spelling of 10201010100 in words is "ten billion, two hundred one million, ten thousand, one hundred".