101222220012112 has 40 divisors (see below), whose sum is σ = 203910594366600. Its totient is φ = 48617849021952.

The previous prime is 101222220012107. The next prime is 101222220012113. The reversal of 101222220012112 is 211210022222101.

It can be written as a sum of positive squares in 4 ways, for example, as 21829415462416 + 79392804549696 = 4672196^2 + 8910264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101222220012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222220012113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 553592187 + ... + 553775002.

It is an arithmetic number, because the mean of its divisors is an integer number (5097764859165).

Almost surely, 2^{101222220012112} is an apocalyptic number.

It is an amenable number.

101222220012112 is an abundant number, since it is smaller than the sum of its proper divisors (102688374354488).

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

101222220012112 is a wasteful number, since it uses less digits than its factorization.

101222220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107367423 (or 1107367417 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101222220012112 its reverse (211210022222101), we get a palindrome (312432242234213).

The spelling of 101222220012112 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, twelve thousand, one hundred twelve".