101112111210100 has 72 divisors (see below), whose sum is σ = 222216869987840. Its totient is φ = 39928174715520.

The previous prime is 101112111210083. The next prime is 101112111210107. The reversal of 101112111210100 is 1012111211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112111210107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66612802 + ... + 68113798.

Almost surely, 2^{101112111210100} is an apocalyptic number.

101112111210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112111210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111108434993920).

101112111210100 is an abundant number, since it is smaller than the sum of its proper divisors (121104758777740).

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

101112111210100 is a wasteful number, since it uses less digits than its factorization.

101112111210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509617 (or 1509610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101112111210100 its reverse (1012111211101), we get a palindrome (102124222421201).

The spelling of 101112111210100 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred ten thousand, one hundred".