10201020122000 has 160 divisors (see below), whose sum is σ = 25811459032320. Its totient is φ = 3891936153600.

The previous prime is 10201020121987. The next prime is 10201020122003. The reversal of 10201020122000 is 22102010201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10201020122003) 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, 15923891 + ... + 16552109.

It is an arithmetic number, because the mean of its divisors is an integer number (161321618952).

Almost surely, 2^{10201020122000} is an apocalyptic number.

10201020122000 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 10201020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905729516160).

10201020122000 is an abundant number, since it is smaller than the sum of its proper divisors (15610438910320).

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

10201020122000 is a wasteful number, since it uses less digits than its factorization.

10201020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628618 (or 628602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10201020122000 its reverse (22102010201), we get a palindrome (10223122132201).

The spelling of 10201020122000 in words is "ten trillion, two hundred one billion, twenty million, one hundred twenty-two thousand".