10100212111 has 16 divisors (see below), whose sum is σ = 11507040000. Its totient is φ = 8775486720.

The previous prime is 10100212093. The next prime is 10100212141. The reversal of 10100212111 is 11121200101.

It is not a de Polignac number, because 10100212111 - 2¹¹ = 10100210063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300016 + ... + 331978.

It is an arithmetic number, because the mean of its divisors is an integer number (719190000).

Almost surely, 2^10100212111 is an apocalyptic number.

10100212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100212111 is a deficient number, since it is larger than the sum of its proper divisors (1406827889).

10100212111 is a wasteful number, since it uses less digits than its factorization.

10100212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33246.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100212111 its reverse (11121200101), we get a palindrome (21221412212).

The spelling of 10100212111 in words is "ten billion, one hundred million, two hundred twelve thousand, one hundred eleven".