201201102202100 has 576 divisors, whose sum is σ = 602481772032000. Its totient is φ = 57471374016000.

The previous prime is 201201102202099. The next prime is 201201102202127. The reversal of 201201102202100 is 1202201102102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 681633545 + ... + 681928655.

Almost surely, 2^{201201102202100} is an apocalyptic number.

201201102202100 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 201201102202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301240886016000).

201201102202100 is an abundant number, since it is smaller than the sum of its proper divisors (401280669829900).

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

201201102202100 is a wasteful number, since it uses less digits than its factorization.

201201102202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295309 (or 295288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201201102202100 its reverse (1202201102102), we get a palindrome (202403303304202).

The spelling of 201201102202100 in words is "two hundred one trillion, two hundred one billion, one hundred two million, two hundred two thousand, one hundred".