122101100112020 has 12 divisors (see below), whose sum is σ = 256412310235284. Its totient is φ = 48840440044800.

The previous prime is 122101100112011. The next prime is 122101100112029. The reversal of 122101100112020 is 20211001101221.

It is an interprime number because it is at equal distance from previous prime (122101100112011) and next prime (122101100112029).

It can be written as a sum of positive squares in 2 ways, for example, as 88239082196356 + 33862017915664 = 9393566^2 + 5819108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122101100111986 and 122101100112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101100112029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052527502781 + ... + 3052527502820.

It is an arithmetic number, because the mean of its divisors is an integer number (21367692519607).

Almost surely, 2^{122101100112020} is an apocalyptic number.

122101100112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101100112020 is an abundant number, since it is smaller than the sum of its proper divisors (134311210123264).

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

122101100112020 is a wasteful number, since it uses less digits than its factorization.

122101100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105055005610 (or 6105055005608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101100112020 its reverse (20211001101221), we get a palindrome (142312101213241).

The spelling of 122101100112020 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred twelve thousand, twenty".