100020111101112 has 128 divisors (see below), whose sum is σ = 256970725516800. Its totient is φ = 32418458316288.

The previous prime is 100020111101087. The next prime is 100020111101137. The reversal of 100020111101112 is 211101111020001.

It is an interprime number because it is at equal distance from previous prime (100020111101087) and next prime (100020111101137).

It is a super-3 number, since 3×100020111101112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18162356263 + ... + 18162361769.

It is an arithmetic number, because the mean of its divisors is an integer number (2007583793100).

Almost surely, 2^{100020111101112} is an apocalyptic number.

100020111101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020111101112 is an abundant number, since it is smaller than the sum of its proper divisors (156950614415688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100020111101112 is a wasteful number, since it uses less digits than its factorization.

100020111101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14761 counting only the distinct ones).

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

Adding to 100020111101112 its reverse (211101111020001), we get a palindrome (311121222121113).

The spelling of 100020111101112 in words is "one hundred trillion, twenty billion, one hundred eleven million, one hundred one thousand, one hundred twelve".