100211210112211 has 64 divisors (see below), whose sum is σ = 115170014540160. Its totient is φ = 86403373056000.

The previous prime is 100211210112197. The next prime is 100211210112217. The reversal of 100211210112211 is 112211012112001.

It is not a de Polignac number, because 100211210112211 - 2¹⁵ = 100211210079443 is a prime.

It is a super-2 number, since 2×100211210112211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211210112217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729435135 + ... + 729572503.

It is an arithmetic number, because the mean of its divisors is an integer number (1799531477190).

Almost surely, 2^{100211210112211} is an apocalyptic number.

100211210112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211210112211 is a deficient number, since it is larger than the sum of its proper divisors (14958804427949).

100211210112211 is a wasteful number, since it uses less digits than its factorization.

100211210112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137848.

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

Adding to 100211210112211 its reverse (112211012112001), we get a palindrome (212422222224212).

The spelling of 100211210112211 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, two hundred eleven".