101016052210080 has 1728 divisors, whose sum is σ = 440888951543040. Its totient is φ = 21702681133056.

The previous prime is 101016052210079. The next prime is 101016052210111. The reversal of 101016052210080 is 80012250610101.

101016052210080 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 60 + 522 + 1 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32808069981 + ... + 32808073059.

It is an arithmetic number, because the mean of its divisors is an integer number (255144069180).

Almost surely, 2^{101016052210080} is an apocalyptic number.

101016052210080 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 101016052210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220444475771520).

101016052210080 is an abundant number, since it is smaller than the sum of its proper divisors (339872899332960).

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

101016052210080 is a wasteful number, since it uses less digits than its factorization.

101016052210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 101016052210080 in words is "one hundred one trillion, sixteen billion, fifty-two million, two hundred ten thousand, eighty".