100311112032001 has 48 divisors (see below), whose sum is σ = 112010104644480. Its totient is φ = 89751182976000.

The previous prime is 100311112031953. The next prime is 100311112032011. The reversal of 100311112032001 is 100230211113001.

It is a happy number.

It is not a de Polignac number, because 100311112032001 - 2¹⁵ = 100311111999233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100311112032011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581688470 + ... + 1581751888.

It is an arithmetic number, because the mean of its divisors is an integer number (2333543846760).

Almost surely, 2^{100311112032001} is an apocalyptic number.

It is an amenable number.

100311112032001 is a deficient number, since it is larger than the sum of its proper divisors (11698992612479).

100311112032001 is a wasteful number, since it uses less digits than its factorization.

100311112032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65738 (or 65725 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100311112032001 its reverse (100230211113001), we get a palindrome (200541323145002).

The spelling of 100311112032001 in words is "one hundred trillion, three hundred eleven billion, one hundred twelve million, thirty-two thousand, one".