100212111121111 has 16 divisors (see below), whose sum is σ = 114211760810400. Its totient is φ = 87089577904000.

The previous prime is 100212111121103. The next prime is 100212111121121. The reversal of 100212111121111 is 111121111212001.

It is a cyclic number.

It is not a de Polignac number, because 100212111121111 - 2³ = 100212111121103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212111121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555138816 + ... + 1555203253.

It is an arithmetic number, because the mean of its divisors is an integer number (7138235050650).

Almost surely, 2^{100212111121111} is an apocalyptic number.

100212111121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212111121111 is a deficient number, since it is larger than the sum of its proper divisors (13999649689289).

100212111121111 is a wasteful number, since it uses less digits than its factorization.

100212111121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110342210.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 100212111121111 its reverse (111121111212001), we get a palindrome (211333222333112).

The spelling of 100212111121111 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred eleven".