10201110022101 has 64 divisors (see below), whose sum is σ = 14823893145600. Its totient is φ = 6217740921600.

The previous prime is 10201110022097. The next prime is 10201110022133. The reversal of 10201110022101 is 10122001110201.

It is not a de Polignac number, because 10201110022101 - 2² = 10201110022097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201110022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637920216 + ... + 637936206.

It is an arithmetic number, because the mean of its divisors is an integer number (231623330400).

Almost surely, 2^{10201110022101} is an apocalyptic number.

It is an amenable number.

10201110022101 is a deficient number, since it is larger than the sum of its proper divisors (4622783123499).

10201110022101 is a wasteful number, since it uses less digits than its factorization.

10201110022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201110022101 its reverse (10122001110201), we get a palindrome (20323111132302).

The spelling of 10201110022101 in words is "ten trillion, two hundred one billion, one hundred ten million, twenty-two thousand, one hundred one".