101112201111000 has 128 divisors (see below), whose sum is σ = 329186157580800. Its totient is φ = 25790938236800.

The previous prime is 101112201110959. The next prime is 101112201111071. The reversal of 101112201111000 is 111102211101.

It is a super-2 number, since 2×101112201111000² (a number of 29 digits) contains 22 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, 732628110 + ... + 732766109.

It is an arithmetic number, because the mean of its divisors is an integer number (2571766856100).

Almost surely, 2^{101112201111000} is an apocalyptic number.

101112201111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112201111000 is an abundant number, since it is smaller than the sum of its proper divisors (228073956469800).

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

101112201111000 is a wasteful number, since it uses less digits than its factorization.

101112201111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465394266 (or 1465394252 counting only the distinct ones).

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

Adding to 101112201111000 its reverse (111102211101), we get a palindrome (101223303322101).

The spelling of 101112201111000 in words is "one hundred one trillion, one hundred twelve billion, two hundred one million, one hundred eleven thousand".