20102012100 has 108 divisors (see below), whose sum is σ = 66715081524. Its totient is φ = 5045207040.

The previous prime is 20102012089. The next prime is 20102012129. The reversal of 20102012100 is 121020102.

It can be written as a sum of positive squares in 6 ways, for example, as 327465216 + 19774546884 = 18096^2 + 140622^2 .

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, 641629 + ... + 672228.

Almost surely, 2^20102012100 is an apocalyptic number.

20102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102012100 is an abundant number, since it is smaller than the sum of its proper divisors (46613069424).

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

20102012100 is a wasteful number, since it uses less digits than its factorization.

20102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313894 (or 1313884 counting only the distinct ones).

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

Adding to 20102012100 its reverse (121020102), we get a palindrome (20223032202).

The spelling of 20102012100 in words is "twenty billion, one hundred two million, twelve thousand, one hundred".