1022121221100 has 144 divisors (see below), whose sum is σ = 3393281316096. Its totient is φ = 232696800000.

The previous prime is 1022121220999. The next prime is 1022121221111. The reversal of 1022121221100 is 11221212201.

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 1022121221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442471 + ... + 1496670.

It is an arithmetic number, because the mean of its divisors is an integer number (23564453584).

Almost surely, 2^{1022121221100} is an apocalyptic number.

1022121221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121221100 is an abundant number, since it is smaller than the sum of its proper divisors (2371160094996).

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

1022121221100 is a wasteful number, since it uses less digits than its factorization.

1022121221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939416 (or 1939409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022121221100 its reverse (11221212201), we get a palindrome (1033342433301).

The spelling of 1022121221100 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred".