1020122100 has 90 divisors (see below), whose sum is σ = 3306859094. Its totient is φ = 272030400.

The previous prime is 1020122099. The next prime is 1020122123. The reversal of 1020122100 is 12210201.

It can be written as a sum of positive squares in 3 ways, for example, as 299843856 + 720278244 = 17316^2 + 26838^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54871 + ... + 71070.

Almost surely, 2^1020122100 is an apocalyptic number.

1020122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122100 is an abundant number, since it is smaller than the sum of its proper divisors (2286736994).

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

1020122100 is a wasteful number, since it uses less digits than its factorization.

1020122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125967 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020122100 is about 31939.3503377887. The cubic root of 1020122100 is about 1006.6628741774.

Adding to 1020122100 its reverse (12210201), we get a palindrome (1032332301).

The spelling of 1020122100 in words is "one billion, twenty million, one hundred twenty-two thousand, one hundred".