100112102011001 has 8 divisors (see below), whose sum is σ = 106650812543520. Its totient is φ = 93700356731712.

The previous prime is 100112102010997. The next prime is 100112102011021. The reversal of 100112102011001 is 100110201211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100112102011001 - 2² = 100112102010997 is a prime.

It is a super-2 number, since 2×100112102011001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112102011021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31741311680 + ... + 31741314833.

It is an arithmetic number, because the mean of its divisors is an integer number (13331351567940).

Almost surely, 2^{100112102011001} is an apocalyptic number.

It is an amenable number.

100112102011001 is a deficient number, since it is larger than the sum of its proper divisors (6538710532519).

100112102011001 is an equidigital number, since it uses as much as digits as its factorization.

100112102011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63482626615.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112102011001 its reverse (100110201211001), we get a palindrome (200222303222002).

The spelling of 100112102011001 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, eleven thousand, one".