2102123100102 has 32 divisors (see below), whose sum is σ = 4497447138912. Its totient is φ = 652690735104.

The previous prime is 2102123100083. The next prime is 2102123100139. The reversal of 2102123100102 is 2010013212012.

It is a super-2 number, since 2×2102123100102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 106222323 + ... + 106242110.

It is an arithmetic number, because the mean of its divisors is an integer number (140545223091).

Almost surely, 2^{2102123100102} is an apocalyptic number.

2102123100102 is an abundant number, since it is smaller than the sum of its proper divisors (2395324038810).

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

2102123100102 is a wasteful number, since it uses less digits than its factorization.

2102123100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212464552.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2102123100102 its reverse (2010013212012), we get a palindrome (4112136312114).

The spelling of 2102123100102 in words is "two trillion, one hundred two billion, one hundred twenty-three million, one hundred thousand, one hundred two".