1022132100 has 72 divisors (see below), whose sum is σ = 3226231008. Its totient is φ = 247788800.

The previous prime is 1022132081. The next prime is 1022132143. The reversal of 1022132100 is 12312201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151569 + ... + 158168.

It is an arithmetic number, because the mean of its divisors is an integer number (44808764).

Almost surely, 2^1022132100 is an apocalyptic number.

1022132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022132100 is an abundant number, since it is smaller than the sum of its proper divisors (2204098908).

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

1022132100 is a wasteful number, since it uses less digits than its factorization.

1022132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309765 (or 309758 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1022132100 is about 31970.8007406759. The cubic root of 1022132100 is about 1007.3236006067.

Adding to 1022132100 its reverse (12312201), we get a palindrome (1034444301).

The spelling of 1022132100 in words is "one billion, twenty-two million, one hundred thirty-two thousand, one hundred".