101112122120001 has 8 divisors (see below), whose sum is σ = 134821856892864. Its totient is φ = 67405234380240.

The previous prime is 101112122119993. The next prime is 101112122120017. The reversal of 101112122120001 is 100021221211101.

It is a happy number.

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

It is not a de Polignac number, because 101112122120001 - 2³ = 101112122119993 is a prime.

It is a super-2 number, since 2×101112122120001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101112122220001) 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, 711675405 + ... + 711817466.

It is an arithmetic number, because the mean of its divisors is an integer number (16852732111608).

Almost surely, 2^{101112122120001} is an apocalyptic number.

It is an amenable number.

101112122120001 is a deficient number, since it is larger than the sum of its proper divisors (33709734772863).

101112122120001 is a wasteful number, since it uses less digits than its factorization.

101112122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423516551.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112122120001 its reverse (100021221211101), we get a palindrome (201133343331102).

The spelling of 101112122120001 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one".