2100122022100 has 72 divisors (see below), whose sum is σ = 4586852907000. Its totient is φ = 834603724800.

The previous prime is 2100122022091. The next prime is 2100122022107. The reversal of 2100122022100 is 12202210012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 334375375504 + 1765746646596 = 578252^2 + 1328814^2 .

It is a super-3 number, since 3×2100122022100³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122022107) 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, 18931596 + ... + 19042204.

It is an arithmetic number, because the mean of its divisors is an integer number (63706290375).

Almost surely, 2^{2100122022100} is an apocalyptic number.

2100122022100 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 2100122022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293426453500).

2100122022100 is an abundant number, since it is smaller than the sum of its proper divisors (2486730884900).

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

2100122022100 is a wasteful number, since it uses less digits than its factorization.

2100122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111853 (or 111846 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2100122022100 its reverse (12202210012), we get a palindrome (2112324232112).

The spelling of 2100122022100 in words is "two trillion, one hundred billion, one hundred twenty-two million, twenty-two thousand, one hundred".