100201910010 has 64 divisors (see below), whose sum is σ = 247692816000. Its totient is φ = 25923739392.

The previous prime is 100201909993. The next prime is 100201910021. The reversal of 100201910010 is 10019102001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258061 + ... + 516719.

It is an arithmetic number, because the mean of its divisors is an integer number (3870200250).

Almost surely, 2^100201910010 is an apocalyptic number.

100201910010 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 100201910010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123846408000).

100201910010 is an abundant number, since it is smaller than the sum of its proper divisors (147490905990).

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

100201910010 is a wasteful number, since it uses less digits than its factorization.

100201910010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259055.

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

The spelling of 100201910010 in words is "one hundred billion, two hundred one million, nine hundred ten thousand, ten".