100112101120 has 36 divisors (see below), whose sum is σ = 239799770280. Its totient is φ = 40044839936.

The previous prime is 100112101073. The next prime is 100112101121. The reversal of 100112101120 is 21101211001.

It is a super-2 number, since 2×100112101120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100112101097 and 100112101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112101121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39105010 + ... + 39107569.

It is an arithmetic number, because the mean of its divisors is an integer number (6661104730).

Almost surely, 2^100112101120 is an apocalyptic number.

100112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112101120 is an abundant number, since it is smaller than the sum of its proper divisors (139687669160).

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

100112101120 is an frugal number, since it uses more digits than its factorization.

100112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212600 (or 78212586 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112101120 its reverse (21101211001), we get a palindrome (121213312121).

The spelling of 100112101120 in words is "one hundred billion, one hundred twelve million, one hundred one thousand, one hundred twenty".