101032121200 has 120 divisors (see below), whose sum is σ = 248110334208. Its totient is φ = 39518519040.

The previous prime is 101032121191. The next prime is 101032121207. The reversal of 101032121200 is 2121230101.

101032121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032121207) 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, 37655059 + ... + 37657741.

Almost surely, 2^101032121200 is an apocalyptic number.

101032121200 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 101032121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124055167104).

101032121200 is an abundant number, since it is smaller than the sum of its proper divisors (147078213008).

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

101032121200 is a wasteful number, since it uses less digits than its factorization.

101032121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101032121200 its reverse (2121230101), we get a palindrome (103153351301).

The spelling of 101032121200 in words is "one hundred one billion, thirty-two million, one hundred twenty-one thousand, two hundred".