101232022120000 has 70 divisors (see below), whose sum is σ = 251022514549598. Its totient is φ = 40492808832000.

The previous prime is 101232022119989. The next prime is 101232022120049. The reversal of 101232022120000 is 21220232101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 63061768028736 + 38170254091264 = 7941144^2 + 6178208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1265360277 + ... + 1265440276.

Almost surely, 2^{101232022120000} is an apocalyptic number.

101232022120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101232022120000 is an abundant number, since it is smaller than the sum of its proper divisors (149790492429598).

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

101232022120000 is an frugal number, since it uses more digits than its factorization.

101232022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530800585 (or 2530800560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101232022120000 its reverse (21220232101), we get a palindrome (101253242352101).

The spelling of 101232022120000 in words is "one hundred one trillion, two hundred thirty-two billion, twenty-two million, one hundred twenty thousand".