102102102102 has 256 divisors, whose sum is σ = 293208201216. Its totient is φ = 22809600000.

The previous prime is 102102102073. The next prime is 102102102149. The reversal of 102102102102 is 201201201201.

102102102102 is a modest number, since divided by 102102102 gives 102 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10307352 + ... + 10317252.

It is an arithmetic number, because the mean of its divisors is an integer number (1145344536).

Almost surely, 2^102102102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146604100608).

102102102102 is an abundant number, since it is smaller than the sum of its proper divisors (191106099114).

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

102102102102 is a wasteful number, since it uses less digits than its factorization.

102102102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102102102 its reverse (201201201201), we get a palindrome (303303303303).

Subtracting 102102102102 from its reverse (201201201201), we obtain a palindrome (99099099099).

The spelling of 102102102102 in words is "one hundred two billion, one hundred two million, one hundred two thousand, one hundred two".