2102120122102 has 32 divisors (see below), whose sum is σ = 4233640529664. Its totient is φ = 756007236000.

The previous prime is 2102120122079. The next prime is 2102120122103. The reversal of 2102120122102 is 2012210212012.

It is a happy number.

It is a super-2 number, since 2×2102120122102² (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 (2102120122103) 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 15 ways as a sum of consecutive naturals, for example, 525003024 + ... + 525007027.

It is an arithmetic number, because the mean of its divisors is an integer number (132301266552).

Almost surely, 2^{2102120122102} is an apocalyptic number.

2102120122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102120122102 is an abundant number, since it is smaller than the sum of its proper divisors (2131520407562).

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

2102120122102 is a wasteful number, since it uses less digits than its factorization.

2102120122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050010084.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102120122102 its reverse (2012210212012), we get a palindrome (4114330334114).

It can be divided in two parts, 2102120 and 122102, that added together give a palindrome (2224222).

The spelling of 2102120122102 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred two".