101102122100001 has 32 divisors (see below), whose sum is σ = 149334166590336. Its totient is φ = 60332160960000.

The previous prime is 101102122099973. The next prime is 101102122100027. The reversal of 101102122100001 is 100001221201101.

101102122100001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101102122100001 - 2⁷ = 101102122099873 is a prime.

It is a super-2 number, since 2×101102122100001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101102122100001.

It is not an unprimeable number, because it can be changed into a prime (101102122100101) 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, 83191396 + ... + 84397941.

It is an arithmetic number, because the mean of its divisors is an integer number (4666692705948).

Almost surely, 2^{101102122100001} is an apocalyptic number.

101102122100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102122100001 is a deficient number, since it is larger than the sum of its proper divisors (48232044490335).

101102122100001 is a wasteful number, since it uses less digits than its factorization.

101102122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167589633.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102122100001 its reverse (100001221201101), we get a palindrome (201103343301102).

The spelling of 101102122100001 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand, one".