2100111221000 has 64 divisors (see below), whose sum is σ = 5292280309680. Its totient is φ = 775425676800.

The previous prime is 2100111220979. The next prime is 2100111221017. The reversal of 2100111221000 is 1221110012.

It can be written as a sum of positive squares in 8 ways, for example, as 16413196996 + 2083698024004 = 128114^2 + 1443502^2 .

It is a super-4 number, since 4×2100111221000⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80760509 + ... + 80786508.

Almost surely, 2^{2100111221000} is an apocalyptic number.

2100111221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100111221000 is an abundant number, since it is smaller than the sum of its proper divisors (3192169088680).

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

2100111221000 is a wasteful number, since it uses less digits than its factorization.

2100111221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161547051 (or 161547037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100111221000 its reverse (1221110012), we get a palindrome (2101332331012).

The spelling of 2100111221000 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred twenty-one thousand".