10132110210000 has 400 divisors, whose sum is σ = 33495665156096. Its totient is φ = 2636915904000.

The previous prime is 10132110209953. The next prime is 10132110210007. The reversal of 10132110210000 is 1201123101.

It is a tau number, because it is divible by the number of its divisors (400).

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 (10132110210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2145267639 + ... + 2145272361.

Almost surely, 2^{10132110210000} is an apocalyptic number.

10132110210000 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 10132110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747832578048).

10132110210000 is an abundant number, since it is smaller than the sum of its proper divisors (23363554946096).

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

10132110210000 is a wasteful number, since it uses less digits than its factorization.

10132110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6439 counting only the distinct ones).

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

Adding to 10132110210000 its reverse (1201123101), we get a palindrome (10133311333101).

The spelling of 10132110210000 in words is "ten trillion, one hundred thirty-two billion, one hundred ten million, two hundred ten thousand".