101112110022000 has 320 divisors, whose sum is σ = 406423410951168. Its totient is φ = 21010308480000.

The previous prime is 101112110021957. The next prime is 101112110022083. The reversal of 101112110022000 is 220011211101.

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 63 ways as a sum of consecutive naturals, for example, 108966691 + ... + 109890690.

Almost surely, 2^{101112110022000} is an apocalyptic number.

101112110022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112110022000 is an abundant number, since it is smaller than the sum of its proper divisors (305311300929168).

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

101112110022000 is a wasteful number, since it uses less digits than its factorization.

101112110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218857425 (or 218857409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112110022000 its reverse (220011211101), we get a palindrome (101332121233101).

The spelling of 101112110022000 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, twenty-two thousand".