1010102222112 has 96 divisors (see below), whose sum is σ = 2801449022400. Its totient is φ = 317793696768.

The previous prime is 1010102222111. The next prime is 1010102222113. The reversal of 1010102222112 is 2112222010101.

1010102222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010102222111) and next prime (1010102222113).

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 = 1010102222091 and 1010102222100.

It is not an unprimeable number, because it can be changed into a prime (1010102222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538683 + ... + 1519994.

It is an arithmetic number, because the mean of its divisors is an integer number (29181760650).

Almost surely, 2^{1010102222112} is an apocalyptic number.

1010102222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010102222112 is an abundant number, since it is smaller than the sum of its proper divisors (1791346800288).

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

1010102222112 is a wasteful number, since it uses less digits than its factorization.

1010102222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058978 (or 2058970 counting only the distinct ones).

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

Adding to 1010102222112 its reverse (2112222010101), we get a palindrome (3122324232213).

The spelling of 1010102222112 in words is "one trillion, ten billion, one hundred two million, two hundred twenty-two thousand, one hundred twelve".