101263225881048 has 384 divisors, whose sum is σ = 346577709726720. Its totient is φ = 24287874723840.

The previous prime is 101263225881007. The next prime is 101263225881107. The reversal of 101263225881048 is 840188522362101.

It is a happy number.

It is a super-2 number, since 2×101263225881048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7311265 + ... + 15999407.

It is an arithmetic number, because the mean of its divisors is an integer number (902546119080).

Almost surely, 2^{101263225881048} 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 101263225881048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173288854863360).

101263225881048 is an abundant number, since it is smaller than the sum of its proper divisors (245314483845672).

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

101263225881048 is a wasteful number, since it uses less digits than its factorization.

101263225881048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688247 (or 8688236 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 101263225881048 in words is "one hundred one trillion, two hundred sixty-three billion, two hundred twenty-five million, eight hundred eighty-one thousand, forty-eight".