101152122435200 has 96 divisors (see below), whose sum is σ = 250205712422220. Its totient is φ = 40407680000000.

The previous prime is 101152122435197. The next prime is 101152122435211. The reversal of 101152122435200 is 2534221251101.

It can be written as a sum of positive squares in 6 ways, for example, as 10509993415744 + 90642129019456 = 3241912^2 + 9520616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18333551 + ... + 23203950.

Almost surely, 2^{101152122435200} is an apocalyptic number.

101152122435200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101152122435200 is an abundant number, since it is smaller than the sum of its proper divisors (149053589987020).

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

101152122435200 is an equidigital number, since it uses as much as digits as its factorization.

101152122435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41538286 (or 41538269 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 101152122435200 its reverse (2534221251101), we get a palindrome (103686343686301).

The spelling of 101152122435200 in words is "one hundred one trillion, one hundred fifty-two billion, one hundred twenty-two million, four hundred thirty-five thousand, two hundred".