101269130256 has 720 divisors, whose sum is σ = 364764778560. Its totient is φ = 27041817600.

The previous prime is 101269130233. The next prime is 101269130273. The reversal of 101269130256 is 652031962101.

101269130256 is a `hidden beast` number, since 10 + 1 + 269 + 130 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101269130256.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365592390 + ... + 365592666.

It is an arithmetic number, because the mean of its divisors is an integer number (506617748).

Almost surely, 2^101269130256 is an apocalyptic number.

101269130256 is a gapful number since it is divisible by the number (16) 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 101269130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182382389280).

101269130256 is an abundant number, since it is smaller than the sum of its proper divisors (263495648304).

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

101269130256 is a wasteful number, since it uses less digits than its factorization.

101269130256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 101269130256 in words is "one hundred one billion, two hundred sixty-nine million, one hundred thirty thousand, two hundred fifty-six".