10100111020111 has 16 divisors (see below), whose sum is σ = 11786516714304. Its totient is φ = 8476319775744.

The previous prime is 10100111020079. The next prime is 10100111020133. The reversal of 10100111020111 is 11102011100101.

It is a cyclic number.

It is not a de Polignac number, because 10100111020111 - 2⁵ = 10100111020079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111020141) 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 15 ways as a sum of consecutive naturals, for example, 72066430 + ... + 72206443.

It is an arithmetic number, because the mean of its divisors is an integer number (736657294644).

Almost surely, 2^{10100111020111} is an apocalyptic number.

10100111020111 is a deficient number, since it is larger than the sum of its proper divisors (1686405694193).

10100111020111 is a wasteful number, since it uses less digits than its factorization.

10100111020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144273090.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100111020111 its reverse (11102011100101), we get a palindrome (21202122120212).

The spelling of 10100111020111 in words is "ten trillion, one hundred billion, one hundred eleven million, twenty thousand, one hundred eleven".