101008995097920 has 1792 divisors, whose sum is σ = 432452058071040. Its totient is φ = 19387736653824.

The previous prime is 101008995097909. The next prime is 101008995097963. The reversal of 101008995097920 is 29790599800101.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3904018104 + ... + 3904043976.

It is an arithmetic number, because the mean of its divisors is an integer number (241323693120).

Almost surely, 2^{101008995097920} is an apocalyptic number.

101008995097920 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 101008995097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216226029035520).

101008995097920 is an abundant number, since it is smaller than the sum of its proper divisors (331443062973120).

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

101008995097920 is a wasteful number, since it uses less digits than its factorization.

101008995097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26032 (or 26022 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 60.

The spelling of 101008995097920 in words is "one hundred one trillion, eight billion, nine hundred ninety-five million, ninety-seven thousand, nine hundred twenty".