101111222122320 has 80 divisors (see below), whose sum is σ = 314250559534080. Its totient is φ = 26893678935552.

The previous prime is 101111222122319. The next prime is 101111222122321. The reversal of 101111222122320 is 23221222111101.

It is an interprime number because it is at equal distance from previous prime (101111222122319) and next prime (101111222122321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×101111222122320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111222122321) 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, 541419184 + ... + 541605903.

It is an arithmetic number, because the mean of its divisors is an integer number (3928131994176).

Almost surely, 2^{101111222122320} is an apocalyptic number.

101111222122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111222122320 is an abundant number, since it is smaller than the sum of its proper divisors (213139337411760).

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

101111222122320 is a wasteful number, since it uses less digits than its factorization.

101111222122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083025492 (or 1083025486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101111222122320 its reverse (23221222111101), we get a palindrome (124332444233421).

The spelling of 101111222122320 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".