101000112002000 has 80 divisors (see below), whose sum is σ = 249897765703872. Its totient is φ = 39460508841600.

The previous prime is 101000112001991. The next prime is 101000112002033. The reversal of 101000112002000 is 200211000101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587123954 + ... + 587295953.

Almost surely, 2^{101000112002000} is an apocalyptic number.

101000112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000112002000 is an abundant number, since it is smaller than the sum of its proper divisors (148897653701872).

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

101000112002000 is a wasteful number, since it uses less digits than its factorization.

101000112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174419973 (or 1174419957 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000112002000 its reverse (200211000101), we get a palindrome (101200323002101).

The spelling of 101000112002000 in words is "one hundred one trillion, one hundred twelve million, two thousand".