2102102102112 has 48 divisors (see below), whose sum is σ = 5561467011072. Its totient is φ = 695183368320.

The previous prime is 2102102102101. The next prime is 2102102102153. The reversal of 2102102102112 is 2112012012012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2102102102091 and 2102102102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86196064 + ... + 86220447.

It is an arithmetic number, because the mean of its divisors is an integer number (115863896064).

Almost surely, 2^{2102102102112} is an apocalyptic number.

It is an amenable number.

2102102102112 is an abundant number, since it is smaller than the sum of its proper divisors (3459364908960).

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

2102102102112 is a wasteful number, since it uses less digits than its factorization.

2102102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172416651 (or 172416643 counting only the distinct ones).

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

Adding to 2102102102112 its reverse (2112012012012), we get a palindrome (4214114114124).

It can be divided in two parts, 21021021021 and 12, that multiplied together give a palindrome (252252252252).

The spelling of 2102102102112 in words is "two trillion, one hundred two billion, one hundred two million, one hundred two thousand, one hundred twelve".