101631501642 has 96 divisors (see below), whose sum is σ = 240377077440. Its totient is φ = 28311144960.

The previous prime is 101631501641. The next prime is 101631501649. The reversal of 101631501642 is 246105136101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101631501641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2050084 + ... + 2099072.

It is an arithmetic number, because the mean of its divisors is an integer number (2503927890).

Almost surely, 2^101631501642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101631501642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120188538720).

101631501642 is an abundant number, since it is smaller than the sum of its proper divisors (138745575798).

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

101631501642 is a wasteful number, since it uses less digits than its factorization.

101631501642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49108 (or 49065 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 101631501642 its reverse (246105136101), we get a palindrome (347736637743).

The spelling of 101631501642 in words is "one hundred one billion, six hundred thirty-one million, five hundred one thousand, six hundred forty-two".