1022101112112 has 20 divisors (see below), whose sum is σ = 2640427873080. Its totient is φ = 340700370688.

The previous prime is 1022101112069. The next prime is 1022101112159. The reversal of 1022101112112 is 2112111012201.

It is a happy number.

It is a super-3 number, since 3×1022101112112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022101112091 and 1022101112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10646886537 + ... + 10646886632.

It is an arithmetic number, because the mean of its divisors is an integer number (132021393654).

Almost surely, 2^{1022101112112} is an apocalyptic number.

1022101112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022101112112 is an abundant number, since it is smaller than the sum of its proper divisors (1618326760968).

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

1022101112112 is a wasteful number, since it uses less digits than its factorization.

1022101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293773180 (or 21293773174 counting only the distinct ones).

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

Adding to 1022101112112 its reverse (2112111012201), we get a palindrome (3134212124313).

The spelling of 1022101112112 in words is "one trillion, twenty-two billion, one hundred one million, one hundred twelve thousand, one hundred twelve".