10100112033000 has 128 divisors (see below), whose sum is σ = 34377108704640. Its totient is φ = 2448512000000.

The previous prime is 10100112032911. The next prime is 10100112033013. The reversal of 10100112033000 is 33021100101.

10100112033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 152999001 + ... + 153065000.

It is an arithmetic number, because the mean of its divisors is an integer number (268571161755).

Almost surely, 2^{10100112033000} is an apocalyptic number.

10100112033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100112033000 is an abundant number, since it is smaller than the sum of its proper divisors (24276996671640).

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

10100112033000 is a wasteful number, since it uses less digits than its factorization.

10100112033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306064036 (or 306064022 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100112033000 its reverse (33021100101), we get a palindrome (10133133133101).

The spelling of 10100112033000 in words is "ten trillion, one hundred billion, one hundred twelve million, thirty-three thousand".