2210101212100 has 36 divisors (see below), whose sum is σ = 4799412950724. Its totient is φ = 883396554880.

The previous prime is 2210101212079. The next prime is 2210101212103. The reversal of 2210101212100 is 12121010122.

It can be written as a sum of positive squares in 6 ways, for example, as 573303380224 + 1636797831876 = 757168^2 + 1279374^2 .

It is not an unprimeable number, because it can be changed into a prime (2210101212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7911139 + ... + 8185738.

It is an arithmetic number, because the mean of its divisors is an integer number (133317026409).

Almost surely, 2^{2210101212100} is an apocalyptic number.

2210101212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210101212100 is an abundant number, since it is smaller than the sum of its proper divisors (2589311738624).

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

2210101212100 is a wasteful number, since it uses less digits than its factorization.

2210101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16098264 (or 16098257 counting only the distinct ones).

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

Adding to 2210101212100 its reverse (12121010122), we get a palindrome (2222222222222).

The spelling of 2210101212100 in words is "two trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, one hundred".