100211212211011 has 64 divisors (see below), whose sum is σ = 123210730108800. Its totient is φ = 80419376128000.

The previous prime is 100211212211009. The next prime is 100211212211021. The reversal of 100211212211011 is 110112212112001.

It is a cyclic number.

It is not a de Polignac number, because 100211212211011 - 2¹ = 100211212211009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211212211021) 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, 27303285 + ... + 30755353.

It is an arithmetic number, because the mean of its divisors is an integer number (1925167657950).

Almost surely, 2^{100211212211011} is an apocalyptic number.

100211212211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211212211011 is a deficient number, since it is larger than the sum of its proper divisors (22999517897789).

100211212211011 is a wasteful number, since it uses less digits than its factorization.

100211212211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452280.

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

Adding to 100211212211011 its reverse (110112212112001), we get a palindrome (210323424323012).

The spelling of 100211212211011 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, two hundred eleven thousand, eleven".