102111012 has 36 divisors (see below), whose sum is σ = 258672960. Its totient is φ = 33963312.

The previous prime is 102110971. The next prime is 102111029. The reversal of 102111012 is 210111201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 102110985 and 102111003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15289 + ... + 20927.

It is an arithmetic number, because the mean of its divisors is an integer number (7185360).

Almost surely, 2^102111012 is an apocalyptic number.

102111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111012 is an abundant number, since it is smaller than the sum of its proper divisors (156561948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111012 is a wasteful number, since it uses less digits than its factorization.

102111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6147 counting only the distinct ones).

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

The square root of 102111012 is about 10104.9993567541. Note that the first 3 decimals coincide. The cubic root of 102111012 is about 467.4023161361.

Adding to 102111012 its reverse (210111201), we get a palindrome (312222213).

The spelling of 102111012 in words is "one hundred two million, one hundred eleven thousand, twelve".