2110121220102 has 256 divisors, whose sum is σ = 5418227662848. Its totient is φ = 534661585920.

The previous prime is 2110121220073. The next prime is 2110121220107. The reversal of 2110121220102 is 2010221210112.

It is a super-2 number, since 2×2110121220102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110121220107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62996403 + ... + 63029889.

It is an arithmetic number, because the mean of its divisors is an integer number (21164951808).

Almost surely, 2^{2110121220102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110121220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709113831424).

2110121220102 is an abundant number, since it is smaller than the sum of its proper divisors (3308106442746).

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

2110121220102 is a wasteful number, since it uses less digits than its factorization.

2110121220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33643.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2110121220102 its reverse (2010221210112), we get a palindrome (4120342430214).

The spelling of 2110121220102 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty thousand, one hundred two".