10021100010111 has 12 divisors (see below), whose sum is σ = 15326388250992. Its totient is φ = 6287749025856.

The previous prime is 10021100010109. The next prime is 10021100010133. The reversal of 10021100010111 is 11101000112001.

It is not a de Polignac number, because 10021100010111 - 2¹ = 10021100010109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021100010093 and 10021100010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100010191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32748692691 + ... + 32748692996.

It is an arithmetic number, because the mean of its divisors is an integer number (1277199020916).

Almost surely, 2^{10021100010111} is an apocalyptic number.

10021100010111 is a deficient number, since it is larger than the sum of its proper divisors (5305288240881).

10021100010111 is a wasteful number, since it uses less digits than its factorization.

10021100010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65497385710 (or 65497385707 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10021100010111 its reverse (11101000112001), we get a palindrome (21122100122112).

The spelling of 10021100010111 in words is "ten trillion, twenty-one billion, one hundred million, ten thousand, one hundred eleven".