102102111212101 has 96 divisors (see below), whose sum is σ = 142849141142400. Its totient is φ = 71698027806720.

The previous prime is 102102111212083. The next prime is 102102111212119. The reversal of 102102111212101 is 101212111201201.

It is an interprime number because it is at equal distance from previous prime (102102111212083) and next prime (102102111212119).

It is not a de Polignac number, because 102102111212101 - 2⁷ = 102102111211973 is a prime.

It is a super-2 number, since 2×102102111212101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102111212141) 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 95 ways as a sum of consecutive naturals, for example, 641390245 + ... + 641549413.

It is an arithmetic number, because the mean of its divisors is an integer number (1488011886900).

Almost surely, 2^{102102111212101} is an apocalyptic number.

102102111212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102111212101 is a deficient number, since it is larger than the sum of its proper divisors (40747029930299).

102102111212101 is a wasteful number, since it uses less digits than its factorization.

102102111212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161379 (or 161372 counting only the distinct ones).

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

Adding to 102102111212101 its reverse (101212111201201), we get a palindrome (203314222413302).

The spelling of 102102111212101 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, two hundred twelve thousand, one hundred one".