10032121311000 has 128 divisors (see below), whose sum is σ = 33141407981760. Its totient is φ = 2517865728000.

The previous prime is 10032121310923. The next prime is 10032121311001. The reversal of 10032121311000 is 11312123001.

It is a happy number.

10032121311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032121311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98303131 + ... + 98405130.

Almost surely, 2^{10032121311000} is an apocalyptic number.

10032121311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032121311000 is an abundant number, since it is smaller than the sum of its proper divisors (23109286670760).

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

10032121311000 is a wasteful number, since it uses less digits than its factorization.

10032121311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196708302 (or 196708288 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10032121311000 its reverse (11312123001), we get a palindrome (10043433434001).

The spelling of 10032121311000 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, three hundred eleven thousand".