10120000012100 has 72 divisors (see below), whose sum is σ = 24314364385248. Its totient is φ = 3625074604800.

The previous prime is 10120000012081. The next prime is 10120000012159. The reversal of 10120000012100 is 121000002101.

It is a super-3 number, since 3×10120000012100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68583017 + ... + 68730416.

Almost surely, 2^{10120000012100} is an apocalyptic number.

10120000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120000012100 is an abundant number, since it is smaller than the sum of its proper divisors (14194364373148).

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

10120000012100 is a wasteful number, since it uses less digits than its factorization.

10120000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137313525 (or 137313518 counting only the distinct ones).

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

Adding to 10120000012100 its reverse (121000002101), we get a palindrome (10241000014201).

Subtracting from 10120000012100 its reverse (121000002101), we obtain a palindrome (9999000009999).

It can be divided in two parts, 1012000001 and 2100, that added together give a palindrome (1012002101).

The spelling of 10120000012100 in words is "ten trillion, one hundred twenty billion, twelve thousand, one hundred".