102100221000011 has 16 divisors (see below), whose sum is σ = 110103428746080. Its totient is φ = 94118363942400.

The previous prime is 102100221000007. The next prime is 102100221000049. The reversal of 102100221000011 is 110000122001201.

It is a cyclic number.

It is not a de Polignac number, because 102100221000011 - 2² = 102100221000007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100220999956 and 102100221000001.

It is not an unprimeable number, because it can be changed into a prime (102100221000511) 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, 159348836 + ... + 159988286.

It is an arithmetic number, because the mean of its divisors is an integer number (6881464296630).

Almost surely, 2^{102100221000011} is an apocalyptic number.

102100221000011 is a deficient number, since it is larger than the sum of its proper divisors (8003207746069).

102100221000011 is a wasteful number, since it uses less digits than its factorization.

102100221000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656126.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100221000011 its reverse (110000122001201), we get a palindrome (212100343001212).

The spelling of 102100221000011 in words is "one hundred two trillion, one hundred billion, two hundred twenty-one million, eleven", and thus it is an aban number.