102012001101 has 20 divisors (see below), whose sum is σ = 152398488924. Its totient is φ = 68003452800.

The previous prime is 102012001093. The next prime is 102012001121. The reversal of 102012001101 is 101100210201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31951205001 + 70060796100 = 178749^2 + 264690^2 .

It is not a de Polignac number, because 102012001101 - 2³ = 102012001093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012001121) 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 19 ways as a sum of consecutive naturals, for example, 1542331 + ... + 1607111.

Almost surely, 2^102012001101 is an apocalyptic number.

It is an amenable number.

102012001101 is a deficient number, since it is larger than the sum of its proper divisors (50386487823).

102012001101 is an equidigital number, since it uses as much as digits as its factorization.

102012001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84234 (or 84225 counting only the distinct ones).

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

Adding to 102012001101 its reverse (101100210201), we get a palindrome (203112211302).

The spelling of 102012001101 in words is "one hundred two billion, twelve million, one thousand, one hundred one".