122201101000020 has 192 divisors, whose sum is σ = 403831128669696. Its totient is φ = 27026621429760.

The previous prime is 122201101000009. The next prime is 122201101000103. The reversal of 122201101000020 is 20000101102221.

It is a super-3 number, since 3×122201101000020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18910047 + ... + 24535526.

It is an arithmetic number, because the mean of its divisors is an integer number (2103287128488).

Almost surely, 2^{122201101000020} is an apocalyptic number.

122201101000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201101000020 is an abundant number, since it is smaller than the sum of its proper divisors (281630027669676).

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

122201101000020 is a wasteful number, since it uses less digits than its factorization.

122201101000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43445810 (or 43445808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122201101000020 its reverse (20000101102221), we get a palindrome (142201202102241).

The spelling of 122201101000020 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, twenty", and thus it is an aban number.