102010220202112 has 16 divisors (see below), whose sum is σ = 203223485559150. Its totient is φ = 51005110100992.

The previous prime is 102010220202109. The next prime is 102010220202113. The reversal of 102010220202112 is 211202022010201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100218198897216 + 1792021304896 = 10010904^2 + 1338664^2 .

It is a tau number, because it is divible by the number of its divisors (16).

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

It is not an unprimeable number, because it can be changed into a prime (102010220202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 398477422537 + ... + 398477422792.

Almost surely, 2^{102010220202112} is an apocalyptic number.

It is an amenable number.

102010220202112 is a deficient number, since it is larger than the sum of its proper divisors (101213265357038).

102010220202112 is an frugal number, since it uses more digits than its factorization.

102010220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796954845343 (or 796954845331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102010220202112 its reverse (211202022010201), we get a palindrome (313212242212313).

The spelling of 102010220202112 in words is "one hundred two trillion, ten billion, two hundred twenty million, two hundred two thousand, one hundred twelve".