10022100112111 has 16 divisors (see below), whose sum is σ = 10591028490240. Its totient is φ = 9457381869120.

The previous prime is 10022100112051. The next prime is 10022100112147. The reversal of 10022100112111 is 11121100122001.

It is a happy number.

It is not a de Polignac number, because 10022100112111 - 2¹³ = 10022100103919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022100112091 and 10022100112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100112411) 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, 4632916 + ... + 6442678.

It is an arithmetic number, because the mean of its divisors is an integer number (661939280640).

Almost surely, 2^{10022100112111} is an apocalyptic number.

10022100112111 is a deficient number, since it is larger than the sum of its proper divisors (568928378129).

10022100112111 is a wasteful number, since it uses less digits than its factorization.

10022100112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810926.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10022100112111 its reverse (11121100122001), we get a palindrome (21143200234112).

The spelling of 10022100112111 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twelve thousand, one hundred eleven".