101112123100 has 36 divisors (see below), whose sum is σ = 219710373400. Its totient is φ = 40390090560.

The previous prime is 101112123061. The next prime is 101112123103. The reversal of 101112123100 is 1321211101.

It is a happy number.

It is a super-2 number, since 2×101112123100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112123103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610215 + ... + 758014.

Almost surely, 2^101112123100 is an apocalyptic number.

101112123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112123100 is an abundant number, since it is smaller than the sum of its proper divisors (118598250300).

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

101112123100 is a wasteful number, since it uses less digits than its factorization.

101112123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368982 (or 1368975 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101112123100 its reverse (1321211101), we get a palindrome (102433334201).

The spelling of 101112123100 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-three thousand, one hundred".