10001220101111 has 32 divisors (see below), whose sum is σ = 10482258124800. Its totient is φ = 9530251516800.

The previous prime is 10001220101101. The next prime is 10001220101207. The reversal of 10001220101111 is 11110102210001.

It is a cyclic number.

It is not a de Polignac number, because 10001220101111 - 2³⁸ = 9726342194167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001220101092 and 10001220101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001220101101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473958461 + ... + 473979561.

It is an arithmetic number, because the mean of its divisors is an integer number (327570566400).

Almost surely, 2^{10001220101111} is an apocalyptic number.

10001220101111 is a deficient number, since it is larger than the sum of its proper divisors (481038023689).

10001220101111 is a wasteful number, since it uses less digits than its factorization.

10001220101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21959.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001220101111 its reverse (11110102210001), we get a palindrome (21111322311112).

The spelling of 10001220101111 in words is "ten trillion, one billion, two hundred twenty million, one hundred one thousand, one hundred eleven".