101274909120 has 1260 divisors, whose sum is σ = 461329018920. Its totient is φ = 21012203520.

The previous prime is 101274909089. The next prime is 101274909157. The reversal of 101274909120 is 21909472101.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153679351 + ... + 153680009.

It is an arithmetic number, because the mean of its divisors is an integer number (366134142).

Almost surely, 2^101274909120 is an apocalyptic number.

101274909120 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 101274909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230664509460).

101274909120 is an abundant number, since it is smaller than the sum of its proper divisors (360054109800).

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

101274909120 is a wasteful number, since it uses less digits than its factorization.

101274909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 101274909120 in words is "one hundred one billion, two hundred seventy-four million, nine hundred nine thousand, one hundred twenty".