102701117832336 has 45 divisors (see below), whose sum is σ = 287420829828249. Its totient is φ = 34233665407488.

The previous prime is 102701117832239. The next prime is 102701117832373. The reversal of 102701117832336 is 633238711107201.

The square root of 102701117832336 is 10134156.

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

102701117832336 is a `hidden beast` number, since 1 + 0 + 270 + 1 + 1 + 17 + 8 + 32 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96583687290000 + 6117430542336 = 9827700^2 + 2473344^2 .

It is a super-2 number, since 2×102701117832336² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102701117832291 and 102701117832300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121187616 + ... + 122032128.

Almost surely, 2^{102701117832336} is an apocalyptic number.

102701117832336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102701117832336 is the 10134156-th square number.

It is an amenable number.

102701117832336 is an abundant number, since it is smaller than the sum of its proper divisors (184719711995913).

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

102701117832336 is an frugal number, since it uses more digits than its factorization.

102701117832336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689040 (or 844518 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 102701117832336 its reverse (633238711107201), we get a palindrome (735939828939537).

The spelling of 102701117832336 in words is "one hundred two trillion, seven hundred one billion, one hundred seventeen million, eight hundred thirty-two thousand, three hundred thirty-six".