100211210001111 has 48 divisors (see below), whose sum is σ = 149061391113600. Its totient is φ = 59830398196800.

The previous prime is 100211210001031. The next prime is 100211210001139. The reversal of 100211210001111 is 111100012112001.

It is not a de Polignac number, because 100211210001111 - 2¹⁵ = 100211209968343 is a prime.

It is a super-4 number, since 4×100211210001111⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211210001811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5749876 + ... + 15280166.

It is an arithmetic number, because the mean of its divisors is an integer number (3105445648200).

Almost surely, 2^{100211210001111} is an apocalyptic number.

100211210001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211210001111 is a deficient number, since it is larger than the sum of its proper divisors (48850181112489).

100211210001111 is a wasteful number, since it uses less digits than its factorization.

100211210001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530748 (or 9530737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100211210001111 its reverse (111100012112001), we get a palindrome (211311222113112).

The spelling of 100211210001111 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one thousand, one hundred eleven".