101256445640 has 128 divisors (see below), whose sum is σ = 265006080000. Its totient is φ = 34103317248.

The previous prime is 101256445627. The next prime is 101256445649. The reversal of 101256445640 is 46544652101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101256445594 and 101256445603.

It is not an unprimeable number, because it can be changed into a prime (101256445649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4390379 + ... + 4413381.

It is an arithmetic number, because the mean of its divisors is an integer number (2070360000).

Almost surely, 2^101256445640 is an apocalyptic number.

101256445640 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 101256445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132503040000).

101256445640 is an abundant number, since it is smaller than the sum of its proper divisors (163749634360).

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

101256445640 is a wasteful number, since it uses less digits than its factorization.

101256445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23299 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 101256445640 in words is "one hundred one billion, two hundred fifty-six million, four hundred forty-five thousand, six hundred forty".