10120100002100 has 54 divisors (see below), whose sum is σ = 24138529463622. Its totient is φ = 3680036360000.

The previous prime is 10120100002093. The next prime is 10120100002141. The reversal of 10120100002100 is 120000102101.

It can be written as a sum of positive squares in 3 ways, for example, as 1247112694564 + 8872987307536 = 1116742^2 + 2978756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418173851 + ... + 418198050.

Almost surely, 2^{10120100002100} is an apocalyptic number.

10120100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100002100 is an abundant number, since it is smaller than the sum of its proper divisors (14018429461522).

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

10120100002100 is a wasteful number, since it uses less digits than its factorization.

10120100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836371937 (or 836371919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120100002100 its reverse (120000102101), we get a palindrome (10240100104201).

The spelling of 10120100002100 in words is "ten trillion, one hundred twenty billion, one hundred million, two thousand, one hundred".