101021199942 has 128 divisors (see below), whose sum is σ = 236844518400. Its totient is φ = 28445921280.

The previous prime is 101021199941. The next prime is 101021199967. The reversal of 101021199942 is 249991120101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 101021199942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021199941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6865309 + ... + 6880007.

It is an arithmetic number, because the mean of its divisors is an integer number (1850347800).

Almost surely, 2^101021199942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021199942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118422259200).

101021199942 is an abundant number, since it is smaller than the sum of its proper divisors (135823318458).

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

101021199942 is a wasteful number, since it uses less digits than its factorization.

101021199942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878.

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 101021199942 in words is "one hundred one billion, twenty-one million, one hundred ninety-nine thousand, nine hundred forty-two".