102100000000011 has 16 divisors (see below), whose sum is σ = 146608982992416. Its totient is φ = 62829117179136.

The previous prime is 102099999999961. The next prime is 102100000000027. The reversal of 102100000000011 is 110000000001201.

It is not a de Polignac number, because 102100000000011 - 2¹⁵ = 102099999967243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100000008011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32914650 + ... + 35882783.

It is an arithmetic number, because the mean of its divisors is an integer number (9163061437026).

Almost surely, 2^{102100000000011} is an apocalyptic number.

102100000000011 is a deficient number, since it is larger than the sum of its proper divisors (44508982992405).

102100000000011 is a wasteful number, since it uses less digits than its factorization.

102100000000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68835502.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102100000000011 its reverse (110000000001201), we get a palindrome (212100000001212).

The spelling of 102100000000011 in words is "one hundred two trillion, one hundred billion, eleven", and thus it is an aban number.