101144042120004 has 96 divisors (see below), whose sum is σ = 256714565243136. Its totient is φ = 30808150156800.

The previous prime is 101144042119979. The next prime is 101144042120087. The reversal of 101144042120004 is 400021240441101.

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, 97913934 + ... + 98941530.

It is an arithmetic number, because the mean of its divisors is an integer number (2674110054616).

Almost surely, 2^{101144042120004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101144042120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128357282621568).

101144042120004 is an abundant number, since it is smaller than the sum of its proper divisors (155570523123132).

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

101144042120004 is a wasteful number, since it uses less digits than its factorization.

101144042120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033965 (or 1033963 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101144042120004 its reverse (400021240441101), we get a palindrome (501165282561105).

The spelling of 101144042120004 in words is "one hundred one trillion, one hundred forty-four billion, forty-two million, one hundred twenty thousand, four".