122121101002110 has 48 divisors (see below), whose sum is σ = 340942175863056. Its totient is φ = 27913394514432.

The previous prime is 122121101002037. The next prime is 122121101002123. The reversal of 122121101002110 is 11200101121221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122121101002110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41537787987 + ... + 41537790926.

It is an arithmetic number, because the mean of its divisors is an integer number (7102961997147).

Almost surely, 2^{122121101002110} is an apocalyptic number.

122121101002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121101002110 is an abundant number, since it is smaller than the sum of its proper divisors (218821074860946).

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

122121101002110 is a wasteful number, since it uses less digits than its factorization.

122121101002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83075578937 (or 83075578930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122121101002110 its reverse (11200101121221), we get a palindrome (133321202123331).

The spelling of 122121101002110 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, two thousand, one hundred ten".