10122121212102 has 64 divisors (see below), whose sum is σ = 22762963008000. Its totient is φ = 3333773570400.

The previous prime is 10122121212101. The next prime is 10122121212107. The reversal of 10122121212102 is 20121212122101.

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 (10122121212101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750649 + ... + 4561547.

It is an arithmetic number, because the mean of its divisors is an integer number (355671297000).

Almost surely, 2^{10122121212102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122121212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381481504000).

10122121212102 is an abundant number, since it is smaller than the sum of its proper divisors (12640841795898).

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

10122121212102 is a wasteful number, since it uses less digits than its factorization.

10122121212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811498 (or 3811492 counting only the distinct ones).

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

Adding to 10122121212102 its reverse (20121212122101), we get a palindrome (30243333334203).

Subtracting 10122121212102 from its reverse (20121212122101), we obtain a palindrome (9999090909999).

The spelling of 10122121212102 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred two".