101233640634625 has 8 divisors (see below), whose sum is σ = 126339583512168. Its totient is φ = 80986912507600.

The previous prime is 101233640634547. The next prime is 101233640634697. The reversal of 101233640634625 is 526436046332101.

It can be written as a sum of positive squares in 4 ways, for example, as 140127440896 + 101093513193729 = 374336^2 + 10054527^2 .

It is not a de Polignac number, because 101233640634625 - 2¹⁵ = 101233640601857 is a prime.

It is a super-2 number, since 2×101233640634625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404934562414 + ... + 404934562663.

It is an arithmetic number, because the mean of its divisors is an integer number (15792447939021).

Almost surely, 2^{101233640634625} is an apocalyptic number.

It is an amenable number.

101233640634625 is a deficient number, since it is larger than the sum of its proper divisors (25105942877543).

101233640634625 is an frugal number, since it uses more digits than its factorization.

101233640634625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809869125092 (or 809869125082 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

Adding to 101233640634625 its reverse (526436046332101), we get a palindrome (627669686966726).

The spelling of 101233640634625 in words is "one hundred one trillion, two hundred thirty-three billion, six hundred forty million, six hundred thirty-four thousand, six hundred twenty-five".