10121120012100 has 72 divisors (see below), whose sum is σ = 29447370560160. Its totient is φ = 2683887303680.

The previous prime is 10121120012027. The next prime is 10121120012111. The reversal of 10121120012100 is 121002112101.

It is a super-3 number, since 3×10121120012100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 94183917 + ... + 94291316.

It is an arithmetic number, because the mean of its divisors is an integer number (408991257780).

Almost surely, 2^{10121120012100} is an apocalyptic number.

10121120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120012100 is an abundant number, since it is smaller than the sum of its proper divisors (19326250548060).

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

10121120012100 is a wasteful number, since it uses less digits than its factorization.

10121120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188475429 (or 188475422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121120012100 its reverse (121002112101), we get a palindrome (10242122124201).

The spelling of 10121120012100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred".