101111121222001 has 8 divisors (see below), whose sum is σ = 110303262741600. Its totient is φ = 91919016603840.

The previous prime is 101111121221993. The next prime is 101111121222077. The reversal of 101111121222001 is 100222121111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111121222001 - 2³ = 101111121221993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111121222091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332536 + ... + 14605753.

It is an arithmetic number, because the mean of its divisors is an integer number (13787907842700).

Almost surely, 2^{101111121222001} is an apocalyptic number.

101111121222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111121222001 is a deficient number, since it is larger than the sum of its proper divisors (9192141519599).

101111121222001 is a wasteful number, since it uses less digits than its factorization.

101111121222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450719.

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

Adding to 101111121222001 its reverse (100222121111101), we get a palindrome (201333242333102).

The spelling of 101111121222001 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one".