101020892337225 has 81 divisors (see below), whose sum is σ = 210483007753863. Its totient is φ = 46180496910240.

The previous prime is 101020892337173. The next prime is 101020892337259. The reversal of 101020892337225 is 522733298020101.

The square root of 101020892337225 is 10050915.

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

101020892337225 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 0 + 8 + 92 + 337 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36367521241401 + 64653371095824 = 6030549^2 + 8040732^2 .

It is not a de Polignac number, because 101020892337225 - 2²³ = 101020883948617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1055298214 + ... + 1055393936.

Almost surely, 2^{101020892337225} is an apocalyptic number.

101020892337225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101020892337225 is the 10050915-th square number.

101020892337225 is the 5025458-th centered octagonal number.

It is an amenable number.

101020892337225 is an abundant number, since it is smaller than the sum of its proper divisors (109462115416638).

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

101020892337225 is an frugal number, since it uses more digits than its factorization.

101020892337225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191476 (or 95738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 101020892337225 in words is "one hundred one trillion, twenty billion, eight hundred ninety-two million, three hundred thirty-seven thousand, two hundred twenty-five".