100111112001211 has 16 divisors (see below), whose sum is σ = 103926506293984. Its totient is φ = 96365484843264.

The previous prime is 100111112001209. The next prime is 100111112001253. The reversal of 100111112001211 is 112100211111001.

It is a cyclic number.

It is not a de Polignac number, because 100111112001211 - 2¹ = 100111112001209 is a prime.

It is a super-2 number, since 2×100111112001211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111112001191 and 100111112001200.

It is not an unprimeable number, because it can be changed into a prime (100111112001311) 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, 9008196 + ... + 16774081.

It is an arithmetic number, because the mean of its divisors is an integer number (6495406643374).

Almost surely, 2^{100111112001211} is an apocalyptic number.

100111112001211 is a deficient number, since it is larger than the sum of its proper divisors (3815394292773).

100111112001211 is a wasteful number, since it uses less digits than its factorization.

100111112001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783630.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111112001211 its reverse (112100211111001), we get a palindrome (212211323112212).

The spelling of 100111112001211 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, one thousand, two hundred eleven".