100011102102221 has 16 divisors (see below), whose sum is σ = 107902297993968. Its totient is φ = 92343373824000.

The previous prime is 100011102102101. The next prime is 100011102102251. The reversal of 100011102102221 is 122201201110001.

It can be written as a sum of positive squares in 8 ways, for example, as 6716463124996 + 93294638977225 = 2591614^2 + 9658915^2 .

It is not a de Polignac number, because 100011102102221 - 2³⁰ = 100010028360397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011102102196 and 100011102102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011102102251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4316141 + ... + 14786861.

It is an arithmetic number, because the mean of its divisors is an integer number (6743893624623).

Almost surely, 2^{100011102102221} is an apocalyptic number.

It is an amenable number.

100011102102221 is a deficient number, since it is larger than the sum of its proper divisors (7891195891747).

100011102102221 is a wasteful number, since it uses less digits than its factorization.

100011102102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481392.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011102102221 its reverse (122201201110001), we get a palindrome (222212303212222).

The spelling of 100011102102221 in words is "one hundred trillion, eleven billion, one hundred two million, one hundred two thousand, two hundred twenty-one".