101122011222112 has 48 divisors (see below), whose sum is σ = 204150038444352. Its totient is φ = 49279418133120.

The previous prime is 101122011222101. The next prime is 101122011222131. The reversal of 101122011222112 is 211222110221101.

It is a happy number.

It is a super-2 number, since 2×101122011222112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101122011222112.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78040314 + ... + 79325497.

It is an arithmetic number, because the mean of its divisors is an integer number (4253125800924).

Almost surely, 2^{101122011222112} is an apocalyptic number.

It is an amenable number.

101122011222112 is an abundant number, since it is smaller than the sum of its proper divisors (103028027222240).

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

101122011222112 is a wasteful number, since it uses less digits than its factorization.

101122011222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157366331 (or 157366323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101122011222112 its reverse (211222110221101), we get a palindrome (312344121443213).

The spelling of 101122011222112 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one hundred twelve".