2102022001100 has 72 divisors (see below), whose sum is σ = 5487383784960. Its totient is φ = 682762029120.

The previous prime is 2102022001099. The next prime is 2102022001103. The reversal of 2102022001100 is 11002202012.

It is a happy number.

It is a super-3 number, since 3×2102022001100³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102022001103) 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, 79010084 + ... + 79036683.

It is an arithmetic number, because the mean of its divisors is an integer number (76213663680).

Almost surely, 2^{2102022001100} is an apocalyptic number.

2102022001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102022001100 is an abundant number, since it is smaller than the sum of its proper divisors (3385361783860).

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

2102022001100 is a wasteful number, since it uses less digits than its factorization.

2102022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158046807 (or 158046800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2102022001100 its reverse (11002202012), we get a palindrome (2113024203112).

The spelling of 2102022001100 in words is "two trillion, one hundred two billion, twenty-two million, one thousand, one hundred".