10122132020000 has 480 divisors, whose sum is σ = 33434869716864. Its totient is φ = 2912256000000.

The previous prime is 10122132019927. The next prime is 10122132020003. The reversal of 10122132020000 is 2023122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10122132020003) 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, 19767200 + ... + 20272800.

Almost surely, 2^{10122132020000} is an apocalyptic number.

10122132020000 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 10122132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717434858432).

10122132020000 is an abundant number, since it is smaller than the sum of its proper divisors (23312737696864).

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

10122132020000 is a wasteful number, since it uses less digits than its factorization.

10122132020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505662 (or 505639 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122132020000 its reverse (2023122101), we get a palindrome (10124155142101).

The spelling of 10122132020000 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-two million, twenty thousand".