102100012000011 has 12 divisors (see below), whose sum is σ = 147563388746488. Its totient is φ = 68027169911904.

The previous prime is 102100011999907. The next prime is 102100012000013. The reversal of 102100012000011 is 110000210001201.

It is a happy number.

It is not a de Polignac number, because 102100012000011 - 2¹⁰ = 102100011998987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100011999957 and 102100012000002.

It is not an unprimeable number, because it can be changed into a prime (102100012000013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3292046530 + ... + 3292077543.

Almost surely, 2^{102100012000011} is an apocalyptic number.

102100012000011 is a deficient number, since it is larger than the sum of its proper divisors (45463376746477).

102100012000011 is a wasteful number, since it uses less digits than its factorization.

102100012000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584125802 (or 6584125799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100012000011 its reverse (110000210001201), we get a palindrome (212100222001212).

The spelling of 102100012000011 in words is "one hundred two trillion, one hundred billion, twelve million, eleven", and thus it is an aban number.