101232020000 has 120 divisors (see below), whose sum is σ = 252461183436. Its totient is φ = 39937536000.

The previous prime is 101232019963. The next prime is 101232020009. The reversal of 101232020000 is 20232101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5842462096 + 95389557904 = 76436^2 + 308852^2 .

It is not an unprimeable number, because it can be changed into a prime (101232020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1425332 + ... + 1494668.

Almost surely, 2^101232020000 is an apocalyptic number.

101232020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126230591718).

101232020000 is an abundant number, since it is smaller than the sum of its proper divisors (151229163436).

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

101232020000 is an frugal number, since it uses more digits than its factorization.

101232020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69440 (or 69417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 101232020000 its reverse (20232101), we get a palindrome (101252252101).

The spelling of 101232020000 in words is "one hundred one billion, two hundred thirty-two million, twenty thousand".