101110121002000 has 160 divisors (see below), whose sum is σ = 267406508888064. Its totient is φ = 36671315456000.

The previous prime is 101110121001973. The next prime is 101110121002097. The reversal of 101110121002000 is 200121011101.

101110121002000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2426112 + ... + 14425888.

Almost surely, 2^{101110121002000} is an apocalyptic number.

101110121002000 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 101110121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133703254444032).

101110121002000 is an abundant number, since it is smaller than the sum of its proper divisors (166296387886064).

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

101110121002000 is a wasteful number, since it uses less digits than its factorization.

101110121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000194 (or 12000178 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110121002000 its reverse (200121011101), we get a palindrome (101310242013101).

The spelling of 101110121002000 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-one million, two thousand".