102001001910 has 128 divisors (see below), whose sum is σ = 258482949120. Its totient is φ = 25709376000.

The previous prime is 102001001903. The next prime is 102001001911. The reversal of 102001001910 is 19100100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001001910.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001001911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45924600 + ... + 45926820.

It is an arithmetic number, because the mean of its divisors is an integer number (2019398040).

Almost surely, 2^102001001910 is an apocalyptic number.

102001001910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001001910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129241474560).

102001001910 is an abundant number, since it is smaller than the sum of its proper divisors (156481947210).

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

102001001910 is a wasteful number, since it uses less digits than its factorization.

102001001910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 102001001910 in words is "one hundred two billion, one million, one thousand, nine hundred ten".