102102100100011 has 24 divisors (see below), whose sum is σ = 113731426670400. Its totient is φ = 91583722137600.

The previous prime is 102102100100009. The next prime is 102102100100089. The reversal of 102102100100011 is 110001001201201.

It is not a de Polignac number, because 102102100100011 - 2¹ = 102102100100009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102100107011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13043350 + ... + 19347691.

It is an arithmetic number, because the mean of its divisors is an integer number (4738809444600).

Almost surely, 2^{102102100100011} is an apocalyptic number.

102102100100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102100100011 is a deficient number, since it is larger than the sum of its proper divisors (11629326570389).

102102100100011 is a wasteful number, since it uses less digits than its factorization.

102102100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32391411 (or 32391400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102102100100011 its reverse (110001001201201), we get a palindrome (212103101301212).

The spelling of 102102100100011 in words is "one hundred two trillion, one hundred two billion, one hundred million, one hundred thousand, eleven".