100212111010011 has 256 divisors, whose sum is σ = 186255135424512. Its totient is φ = 46246940928000.

The previous prime is 100212111009943. The next prime is 100212111010043. The reversal of 100212111010011 is 110010111212001.

It is not a de Polignac number, because 100212111010011 - 2¹¹ = 100212111007963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212111010051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13320760696 + ... + 13320768218.

It is an arithmetic number, because the mean of its divisors is an integer number (727559122752).

Almost surely, 2^{100212111010011} is an apocalyptic number.

100212111010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212111010011 is a deficient number, since it is larger than the sum of its proper divisors (86043024414501).

100212111010011 is a wasteful number, since it uses less digits than its factorization.

100212111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882.

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

Adding to 100212111010011 its reverse (110010111212001), we get a palindrome (210222222222012).

The spelling of 100212111010011 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, ten thousand, eleven".