101120110112001 has 16 divisors (see below), whose sum is σ = 142937580819968. Its totient is φ = 63475570425600.

The previous prime is 101120110111991. The next prime is 101120110112071. The reversal of 101120110112001 is 100211011021101.

It is not a de Polignac number, because 101120110112001 - 2⁷ = 101120110111873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120110112071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14693415640 + ... + 14693422521.

It is an arithmetic number, because the mean of its divisors is an integer number (8933598801248).

Almost surely, 2^{101120110112001} is an apocalyptic number.

It is an amenable number.

101120110112001 is a deficient number, since it is larger than the sum of its proper divisors (41817470707967).

101120110112001 is a wasteful number, since it uses less digits than its factorization.

101120110112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386838232.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101120110112001 its reverse (100211011021101), we get a palindrome (201331121133102).

The spelling of 101120110112001 in words is "one hundred one trillion, one hundred twenty billion, one hundred ten million, one hundred twelve thousand, one".