1002212120100 has 72 divisors (see below), whose sum is σ = 2900352053088. Its totient is φ = 267199577600.

The previous prime is 1002212120071. The next prime is 1002212120111. The reversal of 1002212120100 is 10212122001.

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, 1062487 + ... + 1770113.

It is an arithmetic number, because the mean of its divisors is an integer number (40282667404).

Almost surely, 2^{1002212120100} is an apocalyptic number.

1002212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212120100 is an abundant number, since it is smaller than the sum of its proper divisors (1898139932988).

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

1002212120100 is a wasteful number, since it uses less digits than its factorization.

1002212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712365 (or 712358 counting only the distinct ones).

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

Adding to 1002212120100 its reverse (10212122001), we get a palindrome (1012424242101).

The spelling of 1002212120100 in words is "one trillion, two billion, two hundred twelve million, one hundred twenty thousand, one hundred".