102101222112 has 96 divisors (see below), whose sum is σ = 269040320640. Its totient is φ = 33903874560.

The previous prime is 102101222101. The next prime is 102101222123. The reversal of 102101222112 is 211222101201.

It is an interprime number because it is at equal distance from previous prime (102101222101) and next prime (102101222123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102101222091 and 102101222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47911287 + ... + 47913417.

It is an arithmetic number, because the mean of its divisors is an integer number (2802503340).

Almost surely, 2^102101222112 is an apocalyptic number.

102101222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101222112 is an abundant number, since it is smaller than the sum of its proper divisors (166939098528).

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

102101222112 is a wasteful number, since it uses less digits than its factorization.

102101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102101222112 its reverse (211222101201), we get a palindrome (313323323313).

The spelling of 102101222112 in words is "one hundred two billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".