10020212100 has 108 divisors (see below), whose sum is σ = 31489638180. Its totient is φ = 2665094400.

The previous prime is 10020212093. The next prime is 10020212143. The reversal of 10020212100 is 121202001.

It can be written as a sum of positive squares in 6 ways, for example, as 3455323524 + 6564888576 = 58782^2 + 81024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335790 + ... + 364410.

Almost surely, 2^10020212100 is an apocalyptic number.

10020212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744819090).

10020212100 is an abundant number, since it is smaller than the sum of its proper divisors (21469426080).

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

10020212100 is a wasteful number, since it uses less digits than its factorization.

10020212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29030 (or 29020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020212100 its reverse (121202001), we get a palindrome (10141414101).

The spelling of 10020212100 in words is "ten billion, twenty million, two hundred twelve thousand, one hundred".