100701502225 has 9 divisors (see below), whose sum is σ = 124871830267. Its totient is φ = 80559932440.

The previous prime is 100701502147. The next prime is 100701502229. The reversal of 100701502225 is 522205107001.

The square root of 100701502225 is 317335.

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., 36252540801 + 64448961424 = 190401^2 + 253868^2 .

It is not a de Polignac number, because 100701502225 - 2⁹ = 100701501713 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100701502225.

It is not an unprimeable number, because it can be changed into a prime (100701502229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1554942 + ... + 1618408.

Almost surely, 2^100701502225 is an apocalyptic number.

100701502225 is the 317335-th square number.

100701502225 is the 158668-th centered octagonal number.

It is an amenable number.

100701502225 is a deficient number, since it is larger than the sum of its proper divisors (24170328042).

100701502225 is an frugal number, since it uses more digits than its factorization.

100701502225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126944 (or 63472 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

Multiplying 100701502225 by its sum of digits (25), we get a square (2517537555625 = 1586675²).

100701502225 divided by its sum of digits (25) gives a square (4028060089 = 63467²).

Adding to 100701502225 its reverse (522205107001), we get a palindrome (622906609226).

The spelling of 100701502225 in words is "one hundred billion, seven hundred one million, five hundred two thousand, two hundred twenty-five".