10102011100111 has 24 divisors (see below), whose sum is σ = 11848708674000. Its totient is φ = 8587386767232.

The previous prime is 10102011100099. The next prime is 10102011100123. The reversal of 10102011100111 is 11100111020101.

10102011100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10102011100099) and next prime (10102011100123).

It is not a de Polignac number, because 10102011100111 - 2³³ = 10093421165519 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 (10102011101111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349640 + ... + 4693138.

It is an arithmetic number, because the mean of its divisors is an integer number (493696194750).

Almost surely, 2^{10102011100111} is an apocalyptic number.

10102011100111 is a deficient number, since it is larger than the sum of its proper divisors (1746697573889).

10102011100111 is a wasteful number, since it uses less digits than its factorization.

10102011100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344023 (or 3344016 counting only the distinct ones).

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

Adding to 10102011100111 its reverse (11100111020101), we get a palindrome (21202122120212).

The spelling of 10102011100111 in words is "ten trillion, one hundred two billion, eleven million, one hundred thousand, one hundred eleven".