201102102332100 has 360 divisors, whose sum is σ = 696691142975520. Its totient is φ = 50000973511680.

The previous prime is 201102102332063. The next prime is 201102102332101. The reversal of 201102102332100 is 1233201201102.

201102102332100 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 210 + 233 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201102102332101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7909431 + ... + 21558369.

It is an arithmetic number, because the mean of its divisors is an integer number (1935253174932).

Almost surely, 2^{201102102332100} is an apocalyptic number.

201102102332100 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 201102102332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348345571487760).

201102102332100 is an abundant number, since it is smaller than the sum of its proper divisors (495589040643420).

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

201102102332100 is a wasteful number, since it uses less digits than its factorization.

201102102332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649089 (or 13649073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201102102332100 its reverse (1233201201102), we get a palindrome (202335303533202).

The spelling of 201102102332100 in words is "two hundred one trillion, one hundred two billion, one hundred two million, three hundred thirty-two thousand, one hundred".