101019087225 has 135 divisors (see below), whose sum is σ = 217888789437. Its totient is φ = 46134385920.

The previous prime is 101019087187. The next prime is 101019087241. The reversal of 101019087225 is 522780910101.

It is a happy number.

The square root of 101019087225 is 317835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11242148841 + 89776938384 = 106029^2 + 299628^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 101019087225 - 2³³ = 92429152633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101019087225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 100117521 + ... + 100118529.

Almost surely, 2^101019087225 is an apocalyptic number.

101019087225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101019087225 is the 317835-th square number.

101019087225 is the 158918-th centered octagonal number.

It is an amenable number.

101019087225 is an abundant number, since it is smaller than the sum of its proper divisors (116869702212).

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

101019087225 is an frugal number, since it uses more digits than its factorization.

101019087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 101019087225 by its sum of digits (36), we get a square (3636687140100 = 1907010²).

Adding to 101019087225 its reverse (522780910101), we get a palindrome (623799997326).

The spelling of 101019087225 in words is "one hundred one billion, nineteen million, eighty-seven thousand, two hundred twenty-five".