101901602880 has 1792 divisors, whose sum is σ = 476038103040. Its totient is φ = 20155392000.

The previous prime is 101901602867. The next prime is 101901602897. The reversal of 101901602880 is 88206109101.

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 255 ways as a sum of consecutive naturals, for example, 1670518050 + ... + 1670518110.

Almost surely, 2^101901602880 is an apocalyptic number.

101901602880 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 101901602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238019051520).

101901602880 is an abundant number, since it is smaller than the sum of its proper divisors (374136500160).

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

101901602880 is an equidigital number, since it uses as much as digits as its factorization.

101901602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 101901602880 in words is "one hundred one billion, nine hundred one million, six hundred two thousand, eight hundred eighty".