10210132023000 has 512 divisors, whose sum is σ = 39292073533440. Its totient is φ = 2149546291200.

The previous prime is 10210132022999. The next prime is 10210132023011. The reversal of 10210132023000 is 32023101201.

10210132023000 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126358612 + ... + 126439388.

It is an arithmetic number, because the mean of its divisors is an integer number (76742331120).

Almost surely, 2^{10210132023000} is an apocalyptic number.

10210132023000 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 10210132023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646036766720).

10210132023000 is an abundant number, since it is smaller than the sum of its proper divisors (29081941510440).

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

10210132023000 is a wasteful number, since it uses less digits than its factorization.

10210132023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81284 (or 81270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10210132023000 its reverse (32023101201), we get a palindrome (10242155124201).

The spelling of 10210132023000 in words is "ten trillion, two hundred ten billion, one hundred thirty-two million, twenty-three thousand".