100211111033231 has 32 divisors (see below), whose sum is σ = 115339623321600. Its totient is φ = 86107774848480.

The previous prime is 100211111033221. The next prime is 100211111033291. The reversal of 100211111033231 is 132330111112001.

It is not a de Polignac number, because 100211111033231 - 2³⁰ = 100210037291407 is a prime.

It is a super-2 number, since 2×100211111033231² (a number of 29 digits) contains 22 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 (100211111033221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730231940 + ... + 730369158.

It is an arithmetic number, because the mean of its divisors is an integer number (3604363228800).

Almost surely, 2^{100211111033231} is an apocalyptic number.

100211111033231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211111033231 is a deficient number, since it is larger than the sum of its proper divisors (15128512288369).

100211111033231 is a wasteful number, since it uses less digits than its factorization.

100211111033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145259.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100211111033231 its reverse (132330111112001), we get a palindrome (232541222145232).

The spelling of 100211111033231 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, thirty-three thousand, two hundred thirty-one".