20120102010100 has 18 divisors (see below), whose sum is σ = 43660621362134. Its totient is φ = 8048040804000.

The previous prime is 20120102010037. The next prime is 20120102010119. The reversal of 20120102010100 is 101020102102.

It can be written as a sum of positive squares in 3 ways, for example, as 89572109796 + 20030529900304 = 299286^2 + 4475548^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100600509951 + ... + 100600510150.

Almost surely, 2^{20120102010100} is an apocalyptic number.

20120102010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120102010100 is an abundant number, since it is smaller than the sum of its proper divisors (23540519352034).

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

20120102010100 is a wasteful number, since it uses less digits than its factorization.

20120102010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201201020115 (or 201201020108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20120102010100 its reverse (101020102102), we get a palindrome (20221122112202).

The spelling of 20120102010100 in words is "twenty trillion, one hundred twenty billion, one hundred two million, ten thousand, one hundred".