1022343432100 has 27 divisors (see below), whose sum is σ = 2218507188961. Its totient is φ = 408933328400.

The previous prime is 1022343432073. The next prime is 1022343432109. The reversal of 1022343432100 is 12343432201.

The square root of 1022343432100 is 1011110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 368043635556 + 654299796544 = 606666^2 + 808888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022343432109) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 10060545 + ... + 10161655.

Almost surely, 2^{1022343432100} is an apocalyptic number.

1022343432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022343432100 is the 1011110-th square number.

It is an amenable number.

1022343432100 is an abundant number, since it is smaller than the sum of its proper divisors (1196163756861).

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

1022343432100 is an frugal number, since it uses more digits than its factorization.

1022343432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202236 (or 101118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Multiplying 1022343432100 by its sum of digits (25), we get a square (25558585802500 = 5055550²).

1022343432100 divided by its sum of digits (25) gives a square (40893737284 = 202222²).

Adding to 1022343432100 its reverse (12343432201), we get a palindrome (1034686864301).

The spelling of 1022343432100 in words is "one trillion, twenty-two billion, three hundred forty-three million, four hundred thirty-two thousand, one hundred".