101002010099980 has 192 divisors, whose sum is σ = 246021776824320. Its totient is φ = 34444061568000.

The previous prime is 101002010099957. The next prime is 101002010100029. The reversal of 101002010099980 is 89990010200101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2654226634 + ... + 2654264686.

It is an arithmetic number, because the mean of its divisors is an integer number (1281363420960).

Almost surely, 2^{101002010099980} is an apocalyptic number.

101002010099980 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 101002010099980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123010888412160).

101002010099980 is an abundant number, since it is smaller than the sum of its proper divisors (145019766724340).

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

101002010099980 is a wasteful number, since it uses less digits than its factorization.

101002010099980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44480 (or 44478 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 40.

The spelling of 101002010099980 in words is "one hundred one trillion, two billion, ten million, ninety-nine thousand, nine hundred eighty".