201101911092900 has 54 divisors (see below), whose sum is σ = 630342767995122. Its totient is φ = 53627176291200.

The previous prime is 201101911092811. The next prime is 201101911092913. The reversal of 201101911092900 is 9290119101102.

201101911092900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9725453896356 + 191376457196544 = 3118566^2 + 13833888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111723283041 + ... + 111723284840.

Almost surely, 2^{201101911092900} is an apocalyptic number.

201101911092900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101911092900 is an abundant number, since it is smaller than the sum of its proper divisors (429240856902222).

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

201101911092900 is a wasteful number, since it uses less digits than its factorization.

201101911092900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223446567901 (or 223446567891 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 36.

The spelling of 201101911092900 in words is "two hundred one trillion, one hundred one billion, nine hundred eleven million, ninety-two thousand, nine hundred".