102100100011 has 32 divisors (see below), whose sum is σ = 127516515840. Its totient is φ = 79592419584.

The previous prime is 102100099999. The next prime is 102100100027. The reversal of 102100100011 is 110001001201.

It is a cyclic number.

It is not a de Polignac number, because 102100100011 - 2¹⁵ = 102100067243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 102100099967 and 102100100003.

It is not an unprimeable number, because it can be changed into a prime (102100100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6761676 + ... + 6776758.

It is an arithmetic number, because the mean of its divisors is an integer number (3984891120).

Almost surely, 2^102100100011 is an apocalyptic number.

102100100011 is a deficient number, since it is larger than the sum of its proper divisors (25416415829).

102100100011 is a wasteful number, since it uses less digits than its factorization.

102100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102100100011 its reverse (110001001201), we get a palindrome (212101101212).

The spelling of 102100100011 in words is "one hundred two billion, one hundred million, one hundred thousand, eleven".