122111100010020 has 192 divisors, whose sum is σ = 374053749866496. Its totient is φ = 29518672043520.

The previous prime is 122111100010001. The next prime is 122111100010049. The reversal of 122111100010020 is 20010001111221.

It is a super-2 number, since 2×122111100010020² (a number of 29 digits) contains 22 as substring.

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 = 122111100009978 and 122111100010005.

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, 410304589 + ... + 410602091.

It is an arithmetic number, because the mean of its divisors is an integer number (1948196613888).

Almost surely, 2^{122111100010020} is an apocalyptic number.

122111100010020 is a gapful number since it is divisible by the number (10) 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 122111100010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187026874933248).

122111100010020 is an abundant number, since it is smaller than the sum of its proper divisors (251942649856476).

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

122111100010020 is a wasteful number, since it uses less digits than its factorization.

122111100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299290 (or 299288 counting only the distinct ones).

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

Adding to 122111100010020 its reverse (20010001111221), we get a palindrome (142121101121241).

The spelling of 122111100010020 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred million, ten thousand, twenty".