1020121122100 has 18 divisors (see below), whose sum is σ = 2213662835174. Its totient is φ = 408048448800.

The previous prime is 1020121122089. The next prime is 1020121122133. The reversal of 1020121122100 is 12211210201.

1020121122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 98839814544 + 921281307556 = 314388^2 + 959834^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5100605511 + ... + 5100605710.

Almost surely, 2^{1020121122100} is an apocalyptic number.

1020121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121122100 is an abundant number, since it is smaller than the sum of its proper divisors (1193541713074).

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

1020121122100 is a wasteful number, since it uses less digits than its factorization.

1020121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201211235 (or 10201211228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020121122100 its reverse (12211210201), we get a palindrome (1032332332301).

The spelling of 1020121122100 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".