2122020110100 has 144 divisors (see below), whose sum is σ = 6764183689536. Its totient is φ = 509335680000.

The previous prime is 2122020110071. The next prime is 2122020110113. The reversal of 2122020110100 is 10110202212.

It is a super-2 number, since 2×2122020110100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2850049 + ... + 3516648.

It is an arithmetic number, because the mean of its divisors is an integer number (46973497844).

Almost surely, 2^{2122020110100} is an apocalyptic number.

2122020110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020110100 is an abundant number, since it is smaller than the sum of its proper divisors (4642163579436).

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

2122020110100 is a wasteful number, since it uses less digits than its factorization.

2122020110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366826 (or 6366819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2122020110100 its reverse (10110202212), we get a palindrome (2132130312312).

The spelling of 2122020110100 in words is "two trillion, one hundred twenty-two billion, twenty million, one hundred ten thousand, one hundred".