1021312211100 has 36 divisors (see below), whose sum is σ = 2954996664984. Its totient is φ = 272349922880.

The previous prime is 1021312211069. The next prime is 1021312211123. The reversal of 1021312211100 is 11122131201.

It is a super-3 number, since 3×1021312211100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021312211100.

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 11 ways as a sum of consecutive naturals, for example, 1702186719 + ... + 1702187318.

It is an arithmetic number, because the mean of its divisors is an integer number (82083240694).

Almost surely, 2^{1021312211100} is an apocalyptic number.

1021312211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021312211100 is an abundant number, since it is smaller than the sum of its proper divisors (1933684453884).

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

1021312211100 is a wasteful number, since it uses less digits than its factorization.

1021312211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404374054 (or 3404374047 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1021312211100 its reverse (11122131201), we get a palindrome (1032434342301).

The spelling of 1021312211100 in words is "one trillion, twenty-one billion, three hundred twelve million, two hundred eleven thousand, one hundred".