101901781080 has 480 divisors, whose sum is σ = 389495660400. Its totient is φ = 23848957440.

The previous prime is 101901781073. The next prime is 101901781087. The reversal of 101901781080 is 80187109101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101901781073) and next prime (101901781087).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101901781087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11364679 + ... + 11373641.

Almost surely, 2^101901781080 is an apocalyptic number.

101901781080 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 101901781080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194747830200).

101901781080 is an abundant number, since it is smaller than the sum of its proper divisors (287593879320).

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

101901781080 is a wasteful number, since it uses less digits than its factorization.

101901781080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 101901781080 in words is "one hundred one billion, nine hundred one million, seven hundred eighty-one thousand, eighty".