10122020000000 has 144 divisors (see below), whose sum is σ = 25255611322032. Its totient is φ = 4048800000000.

The previous prime is 10122019999961. The next prime is 10122020000017. The reversal of 10122020000000 is 2022101.

It can be written as a sum of positive squares in 8 ways, for example, as 5026779234304 + 5095240765696 = 2242048^2 + 2257264^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19746950 + ... + 20253050.

Almost surely, 2^{10122020000000} is an apocalyptic number.

10122020000000 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 10122020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627805661016).

10122020000000 is an abundant number, since it is smaller than the sum of its proper divisors (15133591322032).

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

10122020000000 is an frugal number, since it uses more digits than its factorization.

10122020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506152 (or 506108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10122020000000 its reverse (2022101), we get a palindrome (10122022022101).

The spelling of 10122020000000 in words is "ten trillion, one hundred twenty-two billion, twenty million", and thus it is an aban number.