2122122122100 has 216 divisors, whose sum is σ = 6911917608960. Its totient is φ = 543933815040.

The previous prime is 2122122122069. The next prime is 2122122122179. The reversal of 2122122122100 is 12212212212.

It is a happy number.

2122122122100 is a `hidden beast` number, since 2 + 1 + 221 + 221 + 221 + 0 + 0 = 666.

It is a super-2 number, since 2×2122122122100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5637997 + ... + 6002603.

It is an arithmetic number, because the mean of its divisors is an integer number (31999618560).

Almost surely, 2^{2122122122100} is an apocalyptic number.

2122122122100 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 2122122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455958804480).

2122122122100 is an abundant number, since it is smaller than the sum of its proper divisors (4789795486860).

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

2122122122100 is a wasteful number, since it uses less digits than its factorization.

2122122122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364879 (or 364869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122122122100 its reverse (12212212212), we get a palindrome (2134334334312).

The spelling of 2122122122100 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".