1022121110100 has 144 divisors (see below), whose sum is σ = 3152392678400. Its totient is φ = 254951349120.

The previous prime is 1022121110089. The next prime is 1022121110137. The reversal of 1022121110100 is 10111212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684634 + ... + 1585233.

Almost surely, 2^{1022121110100} is an apocalyptic number.

1022121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121110100 is an abundant number, since it is smaller than the sum of its proper divisors (2130271568300).

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

1022121110100 is a wasteful number, since it uses less digits than its factorization.

1022121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269982 (or 2269975 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022121110100 its reverse (10111212201), we get a palindrome (1032232322301).

The spelling of 1022121110100 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred".