1102122032400 has 135 divisors (see below), whose sum is σ = 3824888199951. Its totient is φ = 293882411520.

The previous prime is 1102122032387. The next prime is 1102122032419. The reversal of 1102122032400 is 42302212011.

It is a happy number.

The square root of 1102122032400 is 1049820.

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

1102122032400 is a `hidden beast` number, since 1 + 1 + 0 + 212 + 20 + 32 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 648018560016 + 454103472384 = 804996^2 + 673872^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62980452 + ... + 62997948.

Almost surely, 2^{1102122032400} is an apocalyptic number.

1102122032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1102122032400 is the 1049820-th square number.

It is an amenable number.

1102122032400 is an abundant number, since it is smaller than the sum of its proper divisors (2722766167551).

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

1102122032400 is an frugal number, since it uses more digits than its factorization.

1102122032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35018 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102122032400 its reverse (42302212011), we get a palindrome (1144424244411).

The spelling of 1102122032400 in words is "one trillion, one hundred two billion, one hundred twenty-two million, thirty-two thousand, four hundred".