101142563304 has 96 divisors (see below), whose sum is σ = 265408375680. Its totient is φ = 32104567296.

The previous prime is 101142563297. The next prime is 101142563309. The reversal of 101142563304 is 403365241101.

It is a super-2 number, since 2×101142563304² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101142563309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511484 + ... + 1576980.

It is an arithmetic number, because the mean of its divisors is an integer number (2764670580).

Almost surely, 2^101142563304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101142563304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132704187840).

101142563304 is an abundant number, since it is smaller than the sum of its proper divisors (164265812376).

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

101142563304 is a wasteful number, since it uses less digits than its factorization.

101142563304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65627 (or 65586 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 101142563304 in words is "one hundred one billion, one hundred forty-two million, five hundred sixty-three thousand, three hundred four".