2122414011102 has 288 divisors, whose sum is σ = 5859908328960. Its totient is φ = 500946969600.

The previous prime is 2122414011083. The next prime is 2122414011121. The reversal of 2122414011102 is 2011104142212.

It is an interprime number because it is at equal distance from previous prime (2122414011083) and next prime (2122414011121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42567327 + ... + 42617157.

It is an arithmetic number, because the mean of its divisors is an integer number (20346903920).

Almost surely, 2^{2122414011102} is an apocalyptic number.

2122414011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122414011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929954164480).

2122414011102 is an abundant number, since it is smaller than the sum of its proper divisors (3737494317858).

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

2122414011102 is a wasteful number, since it uses less digits than its factorization.

2122414011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49928 (or 49900 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 2122414011102 its reverse (2011104142212), we get a palindrome (4133518153314).

The spelling of 2122414011102 in words is "two trillion, one hundred twenty-two billion, four hundred fourteen million, eleven thousand, one hundred two".