101222604025 has 81 divisors (see below), whose sum is σ = 141438484839. Its totient is φ = 71836853760.

The previous prime is 101222603983. The next prime is 101222604053. The reversal of 101222604025 is 520406222101.

The square root of 101222604025 is 318155.

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 12089529 + 101210514496 = 3477^2 + 318136^2 .

It is not a de Polignac number, because 101222604025 - 2¹³ = 101222595833 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 513820227 + ... + 513820423.

Almost surely, 2^101222604025 is an apocalyptic number.

101222604025 is the 318155-th square number.

101222604025 is the 159078-th centered octagonal number.

It is an amenable number.

101222604025 is a deficient number, since it is larger than the sum of its proper divisors (40215880814).

101222604025 is an equidigital number, since it uses as much as digits as its factorization.

101222604025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 101222604025 by its sum of digits (25), we get a square (2530565100625 = 1590775²).

101222604025 divided by its sum of digits (25) gives a square (4048904161 = 63631²).

Adding to 101222604025 its reverse (520406222101), we get a palindrome (621628826126).

The spelling of 101222604025 in words is "one hundred one billion, two hundred twenty-two million, six hundred four thousand, twenty-five".