10122121122102 has 24 divisors (see below), whose sum is σ = 23925013561800. Its totient is φ = 3067309430880.

The previous prime is 10122121122101. The next prime is 10122121122131. The reversal of 10122121122102 is 20122112122101.

10122121122102 is a `hidden beast` number, since 10 + 1 + 221 + 211 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122121122101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25560911727 + ... + 25560912122.

It is an arithmetic number, because the mean of its divisors is an integer number (996875565075).

Almost surely, 2^{10122121122102} is an apocalyptic number.

10122121122102 is an abundant number, since it is smaller than the sum of its proper divisors (13802892439698).

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

10122121122102 is a wasteful number, since it uses less digits than its factorization.

10122121122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51121823868 (or 51121823865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122121122102 its reverse (20122112122101), we get a palindrome (30244233244203).

Subtracting 10122121122102 from its reverse (20122112122101), we obtain a palindrome (9999990999999).

The spelling of 10122121122102 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred two".