122101011100020 has 48 divisors (see below), whose sum is σ = 345077997743808. Its totient is φ = 32255968039680.

The previous prime is 122101011100001. The next prime is 122101011100021. The reversal of 122101011100020 is 20001110101221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122101011099969 and 122101011100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101011100021) 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, 9509418121 + ... + 9509430960.

It is an arithmetic number, because the mean of its divisors is an integer number (7189124952996).

Almost surely, 2^{122101011100020} is an apocalyptic number.

122101011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101011100020 is an abundant number, since it is smaller than the sum of its proper divisors (222976986643788).

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

122101011100020 is a wasteful number, since it uses less digits than its factorization.

122101011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19018849200 (or 19018849198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101011100020 its reverse (20001110101221), we get a palindrome (142102121201241).

The spelling of 122101011100020 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, one hundred thousand, twenty".