100111022001205 has 16 divisors (see below), whose sum is σ = 121373301052080. Its totient is φ = 79262122770432.

The previous prime is 100111022001197. The next prime is 100111022001233. The reversal of 100111022001205 is 502100220111001.

It can be written as a sum of positive squares in 8 ways, for example, as 40902906309444 + 59208115691761 = 6395538^2 + 7694681^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111022001205 - 2³ = 100111022001197 is a prime.

It is a super-2 number, since 2×100111022001205² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36876661 + ... + 39498229.

It is an arithmetic number, because the mean of its divisors is an integer number (7585831315755).

Almost surely, 2^{100111022001205} is an apocalyptic number.

It is an amenable number.

100111022001205 is a deficient number, since it is larger than the sum of its proper divisors (21262279050875).

100111022001205 is an equidigital number, since it uses as much as digits as its factorization.

100111022001205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700408.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 100111022001205 its reverse (502100220111001), we get a palindrome (602211242112206).

The spelling of 100111022001205 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one thousand, two hundred five".