101263225881000 has 256 divisors, whose sum is σ = 316375113600000. Its totient is φ = 26966468179200.

The previous prime is 101263225880959. The next prime is 101263225881007. The reversal of 101263225881000 is 188522362101.

It is a super-2 number, since 2×101263225881000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101263225881000.

It is not an unprimeable number, because it can be changed into a prime (101263225881007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10696438267 + ... + 10696447733.

It is an arithmetic number, because the mean of its divisors is an integer number (1235840287500).

Almost surely, 2^{101263225881000} is an apocalyptic number.

101263225881000 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 101263225881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158187556800000).

101263225881000 is an abundant number, since it is smaller than the sum of its proper divisors (215111887719000).

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

101263225881000 is a wasteful number, since it uses less digits than its factorization.

101263225881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 13995 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 101263225881000 in words is "one hundred one trillion, two hundred sixty-three billion, two hundred twenty-five million, eight hundred eighty-one thousand".