102203112102 has 96 divisors (see below), whose sum is σ = 257766614784. Its totient is φ = 26776008000.

The previous prime is 102203112079. The next prime is 102203112139. The reversal of 102203112102 is 201211302201.

It is a super-2 number, since 2×102203112102² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 488577 + ... + 665667.

It is an arithmetic number, because the mean of its divisors is an integer number (2685068904).

Almost surely, 2^102203112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128883307392).

102203112102 is an abundant number, since it is smaller than the sum of its proper divisors (155563502682).

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

102203112102 is a wasteful number, since it uses less digits than its factorization.

102203112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177274 (or 177267 counting only the distinct ones).

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

Adding to 102203112102 its reverse (201211302201), we get a palindrome (303414414303).

The spelling of 102203112102 in words is "one hundred two billion, two hundred three million, one hundred twelve thousand, one hundred two".