100111020112101 has 8 divisors (see below), whose sum is σ = 137088964477984. Its totient is φ = 64936877910480.

The previous prime is 100111020112087. The next prime is 100111020112139. The reversal of 100111020112101 is 101211020111001.

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

It is not a de Polignac number, because 100111020112101 - 2²⁹ = 100110483241189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111020102101) 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, 450950540935 + ... + 450950541156.

It is an arithmetic number, because the mean of its divisors is an integer number (17136120559748).

Almost surely, 2^{100111020112101} is an apocalyptic number.

It is an amenable number.

100111020112101 is a deficient number, since it is larger than the sum of its proper divisors (36977944365883).

100111020112101 is an equidigital number, since it uses as much as digits as its factorization.

100111020112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901901082131.

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

Adding to 100111020112101 its reverse (101211020111001), we get a palindrome (201322040223102).

The spelling of 100111020112101 in words is "one hundred trillion, one hundred eleven billion, twenty million, one hundred twelve thousand, one hundred one".