101020868940 has 192 divisors, whose sum is σ = 289874350080. Its totient is φ = 26280683520.

The previous prime is 101020868911. The next prime is 101020868957. The reversal of 101020868940 is 49868020101.

It is a super-2 number, since 2×101020868940² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318677662 + ... + 318677978.

It is an arithmetic number, because the mean of its divisors is an integer number (1509762240).

Almost surely, 2^101020868940 is an apocalyptic number.

101020868940 is a gapful number since it is divisible by the number (10) 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 101020868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144937175040).

101020868940 is an abundant number, since it is smaller than the sum of its proper divisors (188853481140).

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

101020868940 is a wasteful number, since it uses less digits than its factorization.

101020868940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 101020868940 in words is "one hundred one billion, twenty million, eight hundred sixty-eight thousand, nine hundred forty".