101025444025 has 27 divisors (see below), whose sum is σ = 137719006383. Its totient is φ = 73460336400.

The previous prime is 101025444017. The next prime is 101025444049. The reversal of 101025444025 is 520444520101.

The square root of 101025444025 is 317845.

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., 36369159849 + 64656284176 = 190707^2 + 254276^2 .

It is not a de Polignac number, because 101025444025 - 2³ = 101025444017 is a prime.

It is a super-2 number, since 2×101025444025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101025443984 and 101025444002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17478586 + ... + 17484364.

Almost surely, 2^101025444025 is an apocalyptic number.

101025444025 is the 317845-th square number.

101025444025 is the 158923-rd centered octagonal number.

It is an amenable number.

101025444025 is a deficient number, since it is larger than the sum of its proper divisors (36693562358).

101025444025 is an frugal number, since it uses more digits than its factorization.

101025444025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Multiplying 101025444025 by its product of nonzero digits (6400), we get a square (646562841760000 = 25427600²).

Adding to 101025444025 its reverse (520444520101), we get a palindrome (621469964126).

The spelling of 101025444025 in words is "one hundred one billion, twenty-five million, four hundred forty-four thousand, twenty-five".