100211112233331 has 64 divisors (see below), whose sum is σ = 155581377232896. Its totient is φ = 56700280627200.

The previous prime is 100211112233321. The next prime is 100211112233339. The reversal of 100211112233331 is 133332211112001.

It is not a de Polignac number, because 100211112233331 - 2³⁷ = 100073673279859 is a prime.

It is a super-3 number, since 3×100211112233331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (100211112233339) 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, 372701161 + ... + 372969941.

It is an arithmetic number, because the mean of its divisors is an integer number (2430959019264).

Almost surely, 2^{100211112233331} is an apocalyptic number.

100211112233331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211112233331 is a deficient number, since it is larger than the sum of its proper divisors (55370264999565).

100211112233331 is a wasteful number, since it uses less digits than its factorization.

100211112233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274172.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100211112233331 its reverse (133332211112001), we get a palindrome (233543323345332).

The spelling of 100211112233331 in words is "one hundred trillion, two hundred eleven billion, one hundred twelve million, two hundred thirty-three thousand, three hundred thirty-one".