12421011012100 has 36 divisors (see below), whose sum is σ = 27610998634548. Its totient is φ = 4847223808000.

The previous prime is 12421011012097. The next prime is 12421011012103. The reversal of 12421011012100 is 121011012421.

It is an interprime number because it is at equal distance from previous prime (12421011012097) and next prime (12421011012103).

It can be written as a sum of positive squares in 6 ways, for example, as 6196504961284 + 6224506050816 = 2489278^2 + 2494896^2 .

It is not an unprimeable number, because it can be changed into a prime (12421011012103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1514753341 + ... + 1514761540.

It is an arithmetic number, because the mean of its divisors is an integer number (766972184293).

Almost surely, 2^{12421011012100} is an apocalyptic number.

12421011012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421011012100 is an abundant number, since it is smaller than the sum of its proper divisors (15189987622448).

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

12421011012100 is a wasteful number, since it uses less digits than its factorization.

12421011012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029514936 (or 3029514929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12421011012100 its reverse (121011012421), we get a palindrome (12542022024521).

The spelling of 12421011012100 in words is "twelve trillion, four hundred twenty-one billion, eleven million, twelve thousand, one hundred".