1097821972900 has 81 divisors (see below), whose sum is σ = 2467936788681. Its totient is φ = 423869066880.

The previous prime is 1097821972867. The next prime is 1097821972901. The reversal of 1097821972900 is 92791287901.

The square root of 1097821972900 is 1047770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1088153577316 + 9668395584 = 1043146^2 + 98328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1097821972901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303851494 + ... + 303855106.

Almost surely, 2^{1097821972900} is an apocalyptic number.

1097821972900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1097821972900 is the 1047770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097821972900

1097821972900 is an abundant number, since it is smaller than the sum of its proper divisors (1370114815781).

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

1097821972900 is an frugal number, since it uses more digits than its factorization.

1097821972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 55.

It can be divided in two parts, 1097821 and 972900, that added together give a square (2070721 = 1439²).

The spelling of 1097821972900 in words is "one trillion, ninety-seven billion, eight hundred twenty-one million, nine hundred seventy-two thousand, nine hundred".