101642040192 has 256 divisors, whose sum is σ = 341637396480. Its totient is φ = 26005985280.

The previous prime is 101642040167. The next prime is 101642040193. The reversal of 101642040192 is 291040246101.

It is a super-2 number, since 2×101642040192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101642040193) 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, 1955403 + ... + 2006709.

It is an arithmetic number, because the mean of its divisors is an integer number (1334521080).

Almost surely, 2^101642040192 is an apocalyptic number.

101642040192 is a gapful number since it is divisible by the number (12) 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 101642040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170818698240).

101642040192 is an abundant number, since it is smaller than the sum of its proper divisors (239995356288).

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

101642040192 is a wasteful number, since it uses less digits than its factorization.

101642040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51409 (or 51397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 101642040192 its reverse (291040246101), we get a palindrome (392682286293).

The spelling of 101642040192 in words is "one hundred one billion, six hundred forty-two million, forty thousand, one hundred ninety-two".