20012102100 has 108 divisors (see below), whose sum is σ = 63073892700. Its totient is φ = 5307033600.

The previous prime is 20012102093. The next prime is 20012102141. The reversal of 20012102100 is 120121002.

It can be written as a sum of positive squares in 6 ways, for example, as 4761828036 + 15250274064 = 69006^2 + 123492^2 .

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

It is a congruent number.

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, 101476 + ... + 224324.

It is an arithmetic number, because the mean of its divisors is an integer number (584017525).

Almost surely, 2^20012102100 is an apocalyptic number.

20012102100 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 20012102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31536946350).

20012102100 is an abundant number, since it is smaller than the sum of its proper divisors (43061790600).

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

20012102100 is a wasteful number, since it uses less digits than its factorization.

20012102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123050 (or 123040 counting only the distinct ones).

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

Adding to 20012102100 its reverse (120121002), we get a palindrome (20132223102).

The spelling of 20012102100 in words is "twenty billion, twelve million, one hundred two thousand, one hundred".