101191910820 has 384 divisors, whose sum is σ = 382663249920. Its totient is φ = 19295262720.

The previous prime is 101191910761. The next prime is 101191910821. The reversal of 101191910820 is 28019191101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (101191910821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10385511 + ... + 10395249.

It is an arithmetic number, because the mean of its divisors is an integer number (996518880).

Almost surely, 2^101191910820 is an apocalyptic number.

101191910820 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 101191910820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191331624960).

101191910820 is an abundant number, since it is smaller than the sum of its proper divisors (281471339100).

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

101191910820 is a wasteful number, since it uses less digits than its factorization.

101191910820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 101191910820 in words is "one hundred one billion, one hundred ninety-one million, nine hundred ten thousand, eight hundred twenty".