101060071899920 has 320 divisors, whose sum is σ = 284803466411520. Its totient is φ = 32556383502336.

The previous prime is 101060071899911. The next prime is 101060071899931. The reversal of 101060071899920 is 29998170060101.

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, 18186081782 + ... + 18186087338.

It is an arithmetic number, because the mean of its divisors is an integer number (890010832536).

Almost surely, 2^{101060071899920} is an apocalyptic number.

101060071899920 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 101060071899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142401733205760).

101060071899920 is an abundant number, since it is smaller than the sum of its proper divisors (183743394511600).

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

101060071899920 is a wasteful number, since it uses less digits than its factorization.

101060071899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 53.

The spelling of 101060071899920 in words is "one hundred one trillion, sixty billion, seventy-one million, eight hundred ninety-nine thousand, nine hundred twenty".