10100101020111 has 24 divisors (see below), whose sum is σ = 14670771373440. Its totient is φ = 6695746832976.

The previous prime is 10100101020091. The next prime is 10100101020127. The reversal of 10100101020111 is 11102010100101.

It is not a de Polignac number, because 10100101020111 - 2⁹ = 10100101019599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100101020093 and 10100101020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101020151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232145 + ... + 4660298.

It is an arithmetic number, because the mean of its divisors is an integer number (611282140560).

Almost surely, 2^{10100101020111} is an apocalyptic number.

10100101020111 is a deficient number, since it is larger than the sum of its proper divisors (4570670353329).

10100101020111 is a wasteful number, since it uses less digits than its factorization.

10100101020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893515 (or 5893512 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100101020111 its reverse (11102010100101), we get a palindrome (21202111120212).

The spelling of 10100101020111 in words is "ten trillion, one hundred billion, one hundred one million, twenty thousand, one hundred eleven".