10132100022000 has 320 divisors, whose sum is σ = 35988367454208. Its totient is φ = 2431945600000.

The previous prime is 10132100021969. The next prime is 10132100022001. The reversal of 10132100022000 is 22000123101.

10132100022000 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132100022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5906017 + ... + 7425983.

Almost surely, 2^{10132100022000} is an apocalyptic number.

10132100022000 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 10132100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994183727104).

10132100022000 is an abundant number, since it is smaller than the sum of its proper divisors (25856267432208).

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

10132100022000 is a wasteful number, since it uses less digits than its factorization.

10132100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520105 (or 1520089 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10132100022000 its reverse (22000123101), we get a palindrome (10154100145101).

The spelling of 10132100022000 in words is "ten trillion, one hundred thirty-two billion, one hundred million, twenty-two thousand".