102220011101112 has 128 divisors (see below), whose sum is σ = 267952807987200. Its totient is φ = 32434123087872.

The previous prime is 102220011101101. The next prime is 102220011101141. The reversal of 102220011101112 is 211101110022201.

It is a happy number.

It is a super-2 number, since 2×102220011101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102220011101091 and 102220011101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266908753 + ... + 267291455.

It is an arithmetic number, because the mean of its divisors is an integer number (2093381312400).

Almost surely, 2^{102220011101112} is an apocalyptic number.

102220011101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220011101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133976403993600).

102220011101112 is an abundant number, since it is smaller than the sum of its proper divisors (165732796886088).

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

102220011101112 is a wasteful number, since it uses less digits than its factorization.

102220011101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385077 (or 385073 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102220011101112 its reverse (211101110022201), we get a palindrome (313321121123313).

The spelling of 102220011101112 in words is "one hundred two trillion, two hundred twenty billion, eleven million, one hundred one thousand, one hundred twelve".