10121110032000 has 256 divisors, whose sum is σ = 36601616188800. Its totient is φ = 2453602304000.

The previous prime is 10121110031947. The next prime is 10121110032079. The reversal of 10121110032000 is 23001112101.

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 31 ways as a sum of consecutive naturals, for example, 9056385 + ... + 10112384.

Almost surely, 2^{10121110032000} is an apocalyptic number.

10121110032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121110032000 is an abundant number, since it is smaller than the sum of its proper divisors (26480506156800).

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

10121110032000 is a wasteful number, since it uses less digits than its factorization.

10121110032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168812 (or 19168790 counting only the distinct ones).

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

Adding to 10121110032000 its reverse (23001112101), we get a palindrome (10144111144101).

The spelling of 10121110032000 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, thirty-two thousand".