102012120111 has 16 divisors (see below), whose sum is σ = 148398023808. Its totient is φ = 61818544800.

The previous prime is 102012120103. The next prime is 102012120149. The reversal of 102012120111 is 111021210201.

It is not a de Polignac number, because 102012120111 - 2³ = 102012120103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012120101) 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 15 ways as a sum of consecutive naturals, for example, 129985 + ... + 470021.

It is an arithmetic number, because the mean of its divisors is an integer number (9274876488).

Almost surely, 2^102012120111 is an apocalyptic number.

102012120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102012120111 is a deficient number, since it is larger than the sum of its proper divisors (46385903697).

102012120111 is a wasteful number, since it uses less digits than its factorization.

102012120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349142.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102012120111 its reverse (111021210201), we get a palindrome (213033330312).

It can be divided in two parts, 10201 and 2120111, that added together give a palindrome (2130312).

The spelling of 102012120111 in words is "one hundred two billion, twelve million, one hundred twenty thousand, one hundred eleven".