10012100121000 has 128 divisors (see below), whose sum is σ = 34708613846400. Its totient is φ = 2669893358400.

The previous prime is 10012100120969. The next prime is 10012100121013. The reversal of 10012100121000 is 12100121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185382262 + ... + 185436261.

It is an arithmetic number, because the mean of its divisors is an integer number (271161045675).

Almost surely, 2^{10012100121000} is an apocalyptic number.

10012100121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100121000 is an abundant number, since it is smaller than the sum of its proper divisors (24696513725400).

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

10012100121000 is a wasteful number, since it uses less digits than its factorization.

10012100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370818553 (or 370818533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012100121000 its reverse (12100121001), we get a palindrome (10024200242001).

Subtracting from 10012100121000 its reverse (12100121001), we obtain a palindrome (9999999999999).

The spelling of 10012100121000 in words is "ten trillion, twelve billion, one hundred million, one hundred twenty-one thousand".