102102001011216 has 80 divisors (see below), whose sum is σ = 293084580820800. Its totient is φ = 34032371933952.

The previous prime is 102102001011167. The next prime is 102102001011217. The reversal of 102102001011216 is 612110100201201.

It is a super-2 number, since 2×102102001011216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102102001011217) 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 in 15 ways as a sum of consecutive naturals, for example, 3401940 + ... + 14689356.

It is an arithmetic number, because the mean of its divisors is an integer number (3663557260260).

Almost surely, 2^{102102001011216} is an apocalyptic number.

102102001011216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102102001011216 is an abundant number, since it is smaller than the sum of its proper divisors (190982579809584).

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

102102001011216 is a wasteful number, since it uses less digits than its factorization.

102102001011216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308373 (or 11308361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102102001011216 its reverse (612110100201201), we get a palindrome (714212101212417).

The spelling of 102102001011216 in words is "one hundred two trillion, one hundred two billion, one million, eleven thousand, two hundred sixteen".