101232300112000 has 64 divisors (see below), whose sum is σ = 251688806193240. Its totient is φ = 40492920038400.

The previous prime is 101232300111977. The next prime is 101232300112007. The reversal of 101232300112000 is 211003232101.

It can be written as a sum of positive squares in 4 ways, for example, as 16817807306304 + 84414492805696 = 4100952^2 + 9187736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101232300112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3163493379 + ... + 3163525378.

Almost surely, 2^{101232300112000} is an apocalyptic number.

101232300112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101232300112000 is an abundant number, since it is smaller than the sum of its proper divisors (150456506081240).

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

101232300112000 is an frugal number, since it uses more digits than its factorization.

101232300112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327018786 (or 6327018764 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101232300112000 its reverse (211003232101), we get a palindrome (101443303344101).

The spelling of 101232300112000 in words is "one hundred one trillion, two hundred thirty-two billion, three hundred million, one hundred twelve thousand".