102010211220112 has 80 divisors (see below), whose sum is σ = 216404135981488. Its totient is φ = 46295551088640.

The previous prime is 102010211220097. The next prime is 102010211220143. The reversal of 102010211220112 is 211022112010201.

It can be written as a sum of positive squares in 8 ways, for example, as 311538120336 + 101698673099776 = 558156^2 + 10084576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 40038298 + ... + 42509830.

Almost surely, 2^{102010211220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010211220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108202067990744).

102010211220112 is an abundant number, since it is smaller than the sum of its proper divisors (114393924761376).

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

102010211220112 is a wasteful number, since it uses less digits than its factorization.

102010211220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474868 (or 2474862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102010211220112 its reverse (211022112010201), we get a palindrome (313032323230313).

The spelling of 102010211220112 in words is "one hundred two trillion, ten billion, two hundred eleven million, two hundred twenty thousand, one hundred twelve".