2210101122100 has 18 divisors (see below), whose sum is σ = 4795919435174. Its totient is φ = 884040448800.

The previous prime is 2210101122067. The next prime is 2210101122107. The reversal of 2210101122100 is 12211010122.

It can be written as a sum of positive squares in 3 ways, for example, as 425787570576 + 1784313551524 = 652524^2 + 1335782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210101122107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11050505511 + ... + 11050505710.

Almost surely, 2^{2210101122100} is an apocalyptic number.

2210101122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210101122100 is an abundant number, since it is smaller than the sum of its proper divisors (2585818313074).

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

2210101122100 is a wasteful number, since it uses less digits than its factorization.

2210101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22101011235 (or 22101011228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2210101122100 its reverse (12211010122), we get a palindrome (2222312132222).

The spelling of 2210101122100 in words is "two trillion, two hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred".