20120010100 has 108 divisors (see below), whose sum is σ = 46397009568. Its totient is φ = 7571880000.

The previous prime is 20120010067. The next prime is 20120010133. The reversal of 20120010100 is 101002102.

It is an interprime number because it is at equal distance from previous prime (20120010067) and next prime (20120010133).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5449255 + ... + 5452945.

Almost surely, 2^20120010100 is an apocalyptic number.

20120010100 is a gapful number since it is divisible by the number (20) 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 20120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198504784).

20120010100 is an abundant number, since it is smaller than the sum of its proper divisors (26276999468).

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

20120010100 is a wasteful number, since it uses less digits than its factorization.

20120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20120010100 its reverse (101002102), we get a palindrome (20221012202).

The spelling of 20120010100 in words is "twenty billion, one hundred twenty million, ten thousand, one hundred".