101311214042000 has 160 divisors (see below), whose sum is σ = 246479696146944. Its totient is φ = 40275005376000.

The previous prime is 101311214041949. The next prime is 101311214042029. The reversal of 101311214042000 is 240412113101.

101311214042000 is digitally balanced in base 3, 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937951997 + ... + 938060003.

Almost surely, 2^{101311214042000} is an apocalyptic number.

101311214042000 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 101311214042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123239848073472).

101311214042000 is an abundant number, since it is smaller than the sum of its proper divisors (145168482104944).

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

101311214042000 is a wasteful number, since it uses less digits than its factorization.

101311214042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110914 (or 110898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101311214042000 its reverse (240412113101), we get a palindrome (101551626155101).

The spelling of 101311214042000 in words is "one hundred one trillion, three hundred eleven billion, two hundred fourteen million, forty-two thousand".