201090909100 has 72 divisors (see below), whose sum is σ = 443153667600. Its totient is φ = 79194336000.

The previous prime is 201090909059. The next prime is 201090909127. The reversal of 201090909100 is 1909090102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752286 + ... + 1863514.

It is an arithmetic number, because the mean of its divisors is an integer number (6154912050).

Almost surely, 2^201090909100 is an apocalyptic number.

201090909100 is a gapful number since it is divisible by the number (20) 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 201090909100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221576833800).

201090909100 is an abundant number, since it is smaller than the sum of its proper divisors (242062758500).

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

201090909100 is a wasteful number, since it uses less digits than its factorization.

201090909100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111523 (or 111516 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

Adding to 201090909100 its reverse (1909090102), we get a palindrome (202999999202).

The spelling of 201090909100 in words is "two hundred one billion, ninety million, nine hundred nine thousand, one hundred".