10201012100 has 36 divisors (see below), whose sum is σ = 22141059444. Its totient is φ = 4079508480.

The previous prime is 10201012099. The next prime is 10201012121. The reversal of 10201012100 is 121010201.

It can be written as a sum of positive squares in 6 ways, for example, as 340919296 + 9860092804 = 18464^2 + 99298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627272 + ... + 643328.

It is an arithmetic number, because the mean of its divisors is an integer number (615029429).

Almost surely, 2^10201012100 is an apocalyptic number.

10201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012100 is an abundant number, since it is smaller than the sum of its proper divisors (11940047344).

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

10201012100 is a wasteful number, since it uses less digits than its factorization.

10201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22424 (or 22417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10201012100 its reverse (121010201), we get a palindrome (10322022301).

It can be divided in two parts, 1020101 and 2100, that added together give a palindrome (1022201).

The spelling of 10201012100 in words is "ten billion, two hundred one million, twelve thousand, one hundred".