10021101100101 has 144 divisors (see below), whose sum is σ = 18703534986864. Its totient is φ = 5120896370688.

The previous prime is 10021101100093. The next prime is 10021101100103. The reversal of 10021101100101 is 10100110112001.

It can be written as a sum of positive squares in 8 ways, for example, as 358956756900 + 9662144343201 = 599130^2 + 3108399^2 .

It is not a de Polignac number, because 10021101100101 - 2³ = 10021101100093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021101100103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49322815 + ... + 49525571.

It is an arithmetic number, because the mean of its divisors is an integer number (129885659631).

Almost surely, 2^{10021101100101} is an apocalyptic number.

It is an amenable number.

10021101100101 is a deficient number, since it is larger than the sum of its proper divisors (8682433886763).

10021101100101 is a wasteful number, since it uses less digits than its factorization.

10021101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203060 (or 203050 counting only the distinct ones).

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

Adding to 10021101100101 its reverse (10100110112001), we get a palindrome (20121211212102).

The spelling of 10021101100101 in words is "ten trillion, twenty-one billion, one hundred one million, one hundred thousand, one hundred one".