111000001022001 has 64 divisors (see below), whose sum is σ = 202729927626240. Its totient is φ = 58452030259200.

The previous prime is 111000001021979. The next prime is 111000001022023. The reversal of 111000001022001 is 100220100000111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111000001021979) and next prime (111000001022023).

It is not a de Polignac number, because 111000001022001 - 2⁵ = 111000001021969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (111000001026001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36108240 + ... + 39061553.

It is an arithmetic number, because the mean of its divisors is an integer number (3167655119160).

Almost surely, 2^{111000001022001} is an apocalyptic number.

It is an amenable number.

111000001022001 is a deficient number, since it is larger than the sum of its proper divisors (91729926604239).

111000001022001 is a wasteful number, since it uses less digits than its factorization.

111000001022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75170423 (or 75170417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111000001022001 its reverse (100220100000111), we get a palindrome (211220101022112).

The spelling of 111000001022001 in words is "one hundred eleven trillion, one million, twenty-two thousand, one".