102012100011 has 48 divisors (see below), whose sum is σ = 153961067520. Its totient is φ = 65040702720.

The previous prime is 102012099953. The next prime is 102012100027. The reversal of 102012100011 is 110001210201.

It is a happy number.

It is not a de Polignac number, because 102012100011 - 2⁶ = 102012099947 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102012099966 and 102012100002.

It is not an unprimeable number, because it can be changed into a prime (102012100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378700 + ... + 3408758.

It is an arithmetic number, because the mean of its divisors is an integer number (3207522240).

Almost surely, 2^102012100011 is an apocalyptic number.

102012100011 is a deficient number, since it is larger than the sum of its proper divisors (51948967509).

102012100011 is a wasteful number, since it uses less digits than its factorization.

102012100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30296 (or 30293 counting only the distinct ones).

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

Adding to 102012100011 its reverse (110001210201), we get a palindrome (212013310212).

The spelling of 102012100011 in words is "one hundred two billion, twelve million, one hundred thousand, eleven".