101249464320 has 384 divisors, whose sum is σ = 361591776000. Its totient is φ = 26873856000.

The previous prime is 101249464307. The next prime is 101249464321. The reversal of 101249464320 is 23464942101.

101249464320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 9 + 4 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101249464321) 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, 69395751 + ... + 69397209.

It is an arithmetic number, because the mean of its divisors is an integer number (941645250).

Almost surely, 2^101249464320 is an apocalyptic number.

101249464320 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 101249464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888000).

101249464320 is an abundant number, since it is smaller than the sum of its proper divisors (260342311680).

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

101249464320 is a wasteful number, since it uses less digits than its factorization.

101249464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101249464320 in words is "one hundred one billion, two hundred forty-nine million, four hundred sixty-four thousand, three hundred twenty".