101120142042 has 64 divisors (see below), whose sum is σ = 227955801600. Its totient is φ = 33221560320.

The previous prime is 101120142037. The next prime is 101120142047. The reversal of 101120142042 is 240241021101.

101120142042 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 201 + 420 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (101120142037) and next prime (101120142047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101120142047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440942 + ... + 2482022.

It is an arithmetic number, because the mean of its divisors is an integer number (3561809400).

Almost surely, 2^101120142042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120142042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113977900800).

101120142042 is an abundant number, since it is smaller than the sum of its proper divisors (126835659558).

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

101120142042 is a wasteful number, since it uses less digits than its factorization.

101120142042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41748 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101120142042 its reverse (240241021101), we get a palindrome (341361163143).

The spelling of 101120142042 in words is "one hundred one billion, one hundred twenty million, one hundred forty-two thousand, forty-two".