101008980072 has 512 divisors, whose sum is σ = 377911296000. Its totient is φ = 24141680640.

The previous prime is 101008980047. The next prime is 101008980103. The reversal of 101008980072 is 270089800101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100107504 + ... + 100108512.

It is an arithmetic number, because the mean of its divisors is an integer number (738108000).

Almost surely, 2^101008980072 is an apocalyptic number.

101008980072 is a gapful number since it is divisible by the number (12) 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 101008980072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188955648000).

101008980072 is an abundant number, since it is smaller than the sum of its proper divisors (276902315928).

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

101008980072 is a wasteful number, since it uses less digits than its factorization.

101008980072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 101008980072 in words is "one hundred one billion, eight million, nine hundred eighty thousand, seventy-two".