100110120102112 has 12 divisors (see below), whose sum is σ = 197091798951096. Its totient is φ = 50055060051040.

The previous prime is 100110120102103. The next prime is 100110120102121. The reversal of 100110120102112 is 211201021011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100110120102103) and next prime (100110120102121).

It is a super-2 number, since 2×100110120102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110120102092 and 100110120102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1564220626564 + ... + 1564220626627.

It is an arithmetic number, because the mean of its divisors is an integer number (16424316579258).

Almost surely, 2^{100110120102112} is an apocalyptic number.

It is an amenable number.

100110120102112 is a deficient number, since it is larger than the sum of its proper divisors (96981678848984).

100110120102112 is an equidigital number, since it uses as much as digits as its factorization.

100110120102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128441253201 (or 3128441253193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100110120102112 its reverse (211201021011001), we get a palindrome (311311141113113).

The spelling of 100110120102112 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred twelve".