122211021100020 has 144 divisors (see below), whose sum is σ = 354488342120640. Its totient is φ = 31457754309632.

The previous prime is 122211021100009. The next prime is 122211021100031. The reversal of 122211021100020 is 20001120112221.

It is an interprime number because it is at equal distance from previous prime (122211021100009) and next prime (122211021100031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197645896 + ... + 198263264.

It is an arithmetic number, because the mean of its divisors is an integer number (2461724598060).

Almost surely, 2^{122211021100020} is an apocalyptic number.

122211021100020 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 122211021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177244171060320).

122211021100020 is an abundant number, since it is smaller than the sum of its proper divisors (232277321020620).

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

122211021100020 is a wasteful number, since it uses less digits than its factorization.

122211021100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621362 (or 621331 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122211021100020 its reverse (20001120112221), we get a palindrome (142212141212241).

The spelling of 122211021100020 in words is "one hundred twenty-two trillion, two hundred eleven billion, twenty-one million, one hundred thousand, twenty".