120022100000010 has 192 divisors, whose sum is σ = 336439918852128. Its totient is φ = 29510679324672.

The previous prime is 120022100000009. The next prime is 120022100000129. The reversal of 120022100000010 is 10000001220021.

It can be written as a sum of positive squares in 16 ways, for example, as 43125213186441 + 76896886813569 = 6566979^2 + 8769087^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120022099999938 and 120022100000001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10349403532 + ... + 10349415128.

Almost surely, 2^{120022100000010} is an apocalyptic number.

120022100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168219959426064).

120022100000010 is an abundant number, since it is smaller than the sum of its proper divisors (216417818852118).

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

120022100000010 is a wasteful number, since it uses less digits than its factorization.

120022100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20809 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120022100000010 its reverse (10000001220021), we get a palindrome (130022101220031).

The spelling of 120022100000010 in words is "one hundred twenty trillion, twenty-two billion, one hundred million, ten", and thus it is an aban number.