2112121110102 has 32 divisors (see below), whose sum is σ = 4242490179840. Its totient is φ = 701005579680.

The previous prime is 2112121110101. The next prime is 2112121110103. The reversal of 2112121110102 is 2010111212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112121110101) and next prime (2112121110103).

It is a super-4 number, since 4×2112121110102⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121110101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476728 + ... + 2109860.

It is an arithmetic number, because the mean of its divisors is an integer number (132577818120).

Almost surely, 2^{2112121110102} is an apocalyptic number.

2112121110102 is an abundant number, since it is smaller than the sum of its proper divisors (2130369069738).

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

2112121110102 is a wasteful number, since it uses less digits than its factorization.

2112121110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634068.

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

Adding to 2112121110102 its reverse (2010111212112), we get a palindrome (4122232322214).

The spelling of 2112121110102 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred two".