22001101022112 has 96 divisors (see below), whose sum is σ = 57891743316288. Its totient is φ = 7316071428096.

The previous prime is 22001101022053. The next prime is 22001101022129. The reversal of 22001101022112 is 21122010110022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22001101022112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22001101022091 and 22001101022100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630693823 + ... + 630728705.

It is an arithmetic number, because the mean of its divisors is an integer number (603038992878).

Almost surely, 2^{22001101022112} is an apocalyptic number.

It is an amenable number.

22001101022112 is an abundant number, since it is smaller than the sum of its proper divisors (35890642294176).

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

22001101022112 is a wasteful number, since it uses less digits than its factorization.

22001101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50502 (or 50494 counting only the distinct ones).

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

Adding to 22001101022112 its reverse (21122010110022), we get a palindrome (43123111132134).

The spelling of 22001101022112 in words is "twenty-two trillion, one billion, one hundred one million, twenty-two thousand, one hundred twelve".