10101110221111 has 64 divisors (see below), whose sum is σ = 13203738132480. Its totient is φ = 7498965381120.

The previous prime is 10101110221093. The next prime is 10101110221129. The reversal of 10101110221111 is 11112201110101.

It is an interprime number because it is at equal distance from previous prime (10101110221093) and next prime (10101110221129).

It is a cyclic number.

It is not a de Polignac number, because 10101110221111 - 2⁹ = 10101110220599 is a prime.

It is a super-4 number, since 4×10101110221111⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10101110221091 and 10101110221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110281111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904220556 + ... + 904231726.

It is an arithmetic number, because the mean of its divisors is an integer number (206308408320).

Almost surely, 2^{10101110221111} is an apocalyptic number.

10101110221111 is a deficient number, since it is larger than the sum of its proper divisors (3102627911369).

10101110221111 is a wasteful number, since it uses less digits than its factorization.

10101110221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10101110221111 its reverse (11112201110101), we get a palindrome (21213311331212).

The spelling of 10101110221111 in words is "ten trillion, one hundred one billion, one hundred ten million, two hundred twenty-one thousand, one hundred eleven".