101001122201101 has 8 divisors (see below), whose sum is σ = 101149984224000. Its totient is φ = 100852283478480.

The previous prime is 101001122201087. The next prime is 101001122201113. The reversal of 101001122201101 is 101102221100101.

It is a happy number.

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 101001122201101 - 2⁷ = 101001122200973 is a prime.

It is a super-2 number, since 2×101001122201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001122201501) 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, 2860375 + ... + 14497723.

It is an arithmetic number, because the mean of its divisors is an integer number (12643748028000).

Almost surely, 2^{101001122201101} is an apocalyptic number.

It is an amenable number.

101001122201101 is a deficient number, since it is larger than the sum of its proper divisors (148862022899).

101001122201101 is a wasteful number, since it uses less digits than its factorization.

101001122201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11650139.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001122201101 its reverse (101102221100101), we get a palindrome (202103343301202).

The spelling of 101001122201101 in words is "one hundred one trillion, one billion, one hundred twenty-two million, two hundred one thousand, one hundred one".