102100020011 has 16 divisors (see below), whose sum is σ = 111782151168. Its totient is φ = 92484849600.

The previous prime is 102100019977. The next prime is 102100020017. The reversal of 102100020011 is 110020001201.

It is not a de Polignac number, because 102100020011 - 2¹⁰ = 102100018987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100020017) 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, 12497450 + ... + 12505616.

It is an arithmetic number, because the mean of its divisors is an integer number (6986384448).

Almost surely, 2^102100020011 is an apocalyptic number.

102100020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100020011 is a deficient number, since it is larger than the sum of its proper divisors (9682131157).

102100020011 is a wasteful number, since it uses less digits than its factorization.

102100020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100020011 its reverse (110020001201), we get a palindrome (212120021212).

The spelling of 102100020011 in words is "one hundred two billion, one hundred million, twenty thousand, eleven".