101652889775080 has 96 divisors (see below), whose sum is σ = 271080896748840. Its totient is φ = 34194826498560.

The previous prime is 101652889775077. The next prime is 101652889775083. The reversal of 101652889775080 is 80577988256101.

It is an interprime number because it is at equal distance from previous prime (101652889775077) and next prime (101652889775083).

It can be written as a sum of positive squares in 4 ways, for example, as 101563221868164 + 89667906916 = 10077858^2 + 299446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101652889774997 and 101652889775015.

It is not an unprimeable number, because it can be changed into a prime (101652889775083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489176491 + ... + 489384250.

Almost surely, 2^{101652889775080} is an apocalyptic number.

101652889775080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101652889775080 is an abundant number, since it is smaller than the sum of its proper divisors (169428006973760).

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

101652889775080 is a wasteful number, since it uses less digits than its factorization.

101652889775080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978560819 (or 978560808 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 67.

The spelling of 101652889775080 in words is "one hundred one trillion, six hundred fifty-two billion, eight hundred eighty-nine million, seven hundred seventy-five thousand, eighty".