102211021211112 has 48 divisors (see below), whose sum is σ = 301987108126080. Its totient is φ = 30973036730400.

The previous prime is 102211021211111. The next prime is 102211021211237. The reversal of 102211021211112 is 211112120112201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102211021211111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64527159064 + ... + 64527160647.

It is an arithmetic number, because the mean of its divisors is an integer number (6291398085960).

Almost surely, 2^{102211021211112} is an apocalyptic number.

102211021211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211021211112 is an abundant number, since it is smaller than the sum of its proper divisors (199776086914968).

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

102211021211112 is a wasteful number, since it uses less digits than its factorization.

102211021211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129054319734 (or 129054319727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211021211112 its reverse (211112120112201), we get a palindrome (313323141323313).

It can be divided in two parts, 1022110 and 21211112, that added together give a palindrome (22233222).

The spelling of 102211021211112 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, two hundred eleven thousand, one hundred twelve".