201102121122100 has 72 divisors (see below), whose sum is σ = 482089688035200. Its totient is φ = 72202372569600.

The previous prime is 201102121122029. The next prime is 201102121122103. The reversal of 201102121122100 is 1221121201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102121122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157002405 + ... + 1157176204.

It is an arithmetic number, because the mean of its divisors is an integer number (6695690111600).

Almost surely, 2^{201102121122100} is an apocalyptic number.

201102121122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102121122100 is an abundant number, since it is smaller than the sum of its proper divisors (280987566913100).

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

201102121122100 is a wasteful number, since it uses less digits than its factorization.

201102121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314178713 (or 2314178706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201102121122100 its reverse (1221121201102), we get a palindrome (202323242323202).

The spelling of 201102121122100 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".