10021100211111 has 16 divisors (see below), whose sum is σ = 14598885489408. Its totient is φ = 6063919180800.

The previous prime is 10021100210993. The next prime is 10021100211113. The reversal of 10021100211111 is 11111200112001.

10021100211111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021100211111 - 2²² = 10021096016807 is a prime.

It is a super-2 number, since 2×10021100211111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100211113) 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, 236850691 + ... + 236892996.

It is an arithmetic number, because the mean of its divisors is an integer number (912430343088).

Almost surely, 2^{10021100211111} is an apocalyptic number.

10021100211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021100211111 is a deficient number, since it is larger than the sum of its proper divisors (4577785278297).

10021100211111 is a wasteful number, since it uses less digits than its factorization.

10021100211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473744342.

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

Adding to 10021100211111 its reverse (11111200112001), we get a palindrome (21132300323112).

The spelling of 10021100211111 in words is "ten trillion, twenty-one billion, one hundred million, two hundred eleven thousand, one hundred eleven".