101320014042 has 192 divisors, whose sum is σ = 265002192000. Its totient is φ = 27638267904.

The previous prime is 101320014041. The next prime is 101320014067. The reversal of 101320014042 is 240410023101.

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 (101320014041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13525434 + ... + 13532922.

It is an arithmetic number, because the mean of its divisors is an integer number (1380219750).

Almost surely, 2^101320014042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320014042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132501096000).

101320014042 is an abundant number, since it is smaller than the sum of its proper divisors (163682177958).

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

101320014042 is a wasteful number, since it uses less digits than its factorization.

101320014042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101320014042 its reverse (240410023101), we get a palindrome (341730037143).

The spelling of 101320014042 in words is "one hundred one billion, three hundred twenty million, fourteen thousand, forty-two".