101101022010001 has 32 divisors (see below), whose sum is σ = 114961890960000. Its totient is φ = 88139682828288.

The previous prime is 101101022009941. The next prime is 101101022010011. The reversal of 101101022010001 is 100010220101101.

It is not a de Polignac number, because 101101022010001 - 2⁷ = 101101022009873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101022010001.

It is not an unprimeable number, because it can be changed into a prime (101101022010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402701130 + ... + 402952108.

It is an arithmetic number, because the mean of its divisors is an integer number (3592559092500).

Almost surely, 2^{101101022010001} is an apocalyptic number.

It is an amenable number.

101101022010001 is a deficient number, since it is larger than the sum of its proper divisors (13860868949999).

101101022010001 is a wasteful number, since it uses less digits than its factorization.

101101022010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256033.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101022010001 its reverse (100010220101101), we get a palindrome (201111242111102).

The spelling of 101101022010001 in words is "one hundred one trillion, one hundred one billion, twenty-two million, ten thousand, one".