22100102010101 has 8 divisors (see below), whose sum is σ = 22117190553144. Its totient is φ = 22083014914240.

The previous prime is 22100102010017. The next prime is 22100102010127. The reversal of 22100102010101 is 10101020100122.

It can be written as a sum of positive squares in 4 ways, for example, as 3466116786001 + 18633985224100 = 1861751^2 + 4316710^2 .

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 22100102010101 - 2¹⁰ = 22100102009077 is a prime.

It is a super-3 number, since 3×22100102010101³ (a number of 41 digits) contains 333 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 (22100102910101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31258235 + ... + 31957431.

It is an arithmetic number, because the mean of its divisors is an integer number (2764648819143).

Almost surely, 2^{22100102010101} is an apocalyptic number.

It is an amenable number.

22100102010101 is a deficient number, since it is larger than the sum of its proper divisors (17088543043).

22100102010101 is a wasteful number, since it uses less digits than its factorization.

22100102010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723591.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22100102010101 its reverse (10101020100122), we get a palindrome (32201122110223).

The spelling of 22100102010101 in words is "twenty-two trillion, one hundred billion, one hundred two million, ten thousand, one hundred one".