2122013100 has 288 divisors, whose sum is σ = 6974553600. Its totient is φ = 494899200.

The previous prime is 2122013077. The next prime is 2122013111. The reversal of 2122013100 is 13102212.

It is a super-2 number, since 2×2122013100² = 9005879193143220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5910721 + ... + 5911079.

It is an arithmetic number, because the mean of its divisors is an integer number (24217200).

Almost surely, 2^2122013100 is an apocalyptic number.

2122013100 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 2122013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487276800).

2122013100 is an abundant number, since it is smaller than the sum of its proper divisors (4852540500).

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

2122013100 is a wasteful number, since it uses less digits than its factorization.

2122013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2122013100 is about 46065.3134147593. The cubic root of 2122013100 is about 1285.0381473129.

Adding to 2122013100 its reverse (13102212), we get a palindrome (2135115312).

The spelling of 2122013100 in words is "two billion, one hundred twenty-two million, thirteen thousand, one hundred".