10122001320020 has 36 divisors (see below), whose sum is σ = 22433831750484. Its totient is φ = 3835705760640.

The previous prime is 10122001319987. The next prime is 10122001320031. The reversal of 10122001320020 is 2002310022101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6721709575876 + 3400291744144 = 2592626^2 + 1843988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122001319977 and 10122001320004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700962401 + ... + 700976840.

It is an arithmetic number, because the mean of its divisors is an integer number (623161993069).

Almost surely, 2^{10122001320020} is an apocalyptic number.

10122001320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122001320020 is an abundant number, since it is smaller than the sum of its proper divisors (12311830430464).

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

10122001320020 is a wasteful number, since it uses less digits than its factorization.

10122001320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401939288 (or 1401939267 counting only the distinct ones).

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

Adding to 10122001320020 its reverse (2002310022101), we get a palindrome (12124311342121).

The spelling of 10122001320020 in words is "ten trillion, one hundred twenty-two billion, one million, three hundred twenty thousand, twenty".