100122110120020 has 24 divisors (see below), whose sum is σ = 210257513651304. Its totient is φ = 40048637876736.

The previous prime is 100122110120017. The next prime is 100122110120023. The reversal of 100122110120020 is 20021011221001.

It is an interprime number because it is at equal distance from previous prime (100122110120017) and next prime (100122110120023).

It can be written as a sum of positive squares in 4 ways, for example, as 42065238435984 + 58056871684036 = 6485772^2 + 7619506^2 .

It is a super-3 number, since 3×100122110120020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122110120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8873097 + ... + 16702576.

It is an arithmetic number, because the mean of its divisors is an integer number (8760729735471).

Almost surely, 2^{100122110120020} is an apocalyptic number.

100122110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122110120020 is an abundant number, since it is smaller than the sum of its proper divisors (110135403531284).

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

100122110120020 is a wasteful number, since it uses less digits than its factorization.

100122110120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25771419 (or 25771417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122110120020 its reverse (20021011221001), we get a palindrome (120143121341021).

The spelling of 100122110120020 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, twenty".