2122102001100 has 72 divisors (see below), whose sum is σ = 6140094856000. Its totient is φ = 565880374080.

The previous prime is 2122102001081. The next prime is 2122102001119. The reversal of 2122102001100 is 11002012212.

It is an interprime number because it is at equal distance from previous prime (2122102001081) and next prime (2122102001119).

It is a super-4 number, since 4×2122102001100⁴ (a number of 50 digits) contains 4444 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 23 ways as a sum of consecutive naturals, for example, 23403651 + ... + 23494149.

Almost surely, 2^{2122102001100} is an apocalyptic number.

2122102001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122102001100 is an abundant number, since it is smaller than the sum of its proper divisors (4017992854900).

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

2122102001100 is a wasteful number, since it uses less digits than its factorization.

2122102001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168679 (or 168672 counting only the distinct ones).

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

Adding to 2122102001100 its reverse (11002012212), we get a palindrome (2133104013312).

The spelling of 2122102001100 in words is "two trillion, one hundred twenty-two billion, one hundred two million, one thousand, one hundred".