20122122122102 has 384 divisors, whose sum is σ = 45040037575680. Its totient is φ = 6492182400000.

The previous prime is 20122122122101. The next prime is 20122122122119.

20122122122102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122122122101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2032327352 + ... + 2032337252.

It is an arithmetic number, because the mean of its divisors is an integer number (117291764520).

Almost surely, 2^{20122122122102} is an apocalyptic number.

20122122122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122122122102 is an abundant number, since it is smaller than the sum of its proper divisors (24917915453578).

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

20122122122102 is a wasteful number, since it uses less digits than its factorization.

20122122122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2012212 and 2122102, that added together give a palindrome (4134314).

The spelling of 20122122122102 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred two".