20100022000120 has 64 divisors (see below), whose sum is σ = 45909115005600. Its totient is φ = 7918444554240.

The previous prime is 20100022000099. The next prime is 20100022000127. The reversal of 20100022000120 is 2100022000102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20100022000097 and 20100022000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100022000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12879036 + ... + 14355124.

Almost surely, 2^{20100022000120} is an apocalyptic number.

20100022000120 is a gapful number since it is divisible by the number (20) 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 20100022000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954557502800).

20100022000120 is an abundant number, since it is smaller than the sum of its proper divisors (25809093005480).

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

20100022000120 is a wasteful number, since it uses less digits than its factorization.

20100022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481248 (or 1481244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20100022000120 its reverse (2100022000102), we get a palindrome (22200044000222).

The spelling of 20100022000120 in words is "twenty trillion, one hundred billion, twenty-two million, one hundred twenty", and thus it is an aban number.