10101001021101 has 24 divisors (see below), whose sum is σ = 15644141585280. Its totient is φ = 6257656619136.

The previous prime is 10101001021057. The next prime is 10101001021103. The reversal of 10101001021101 is 10112010010101.

It is not a de Polignac number, because 10101001021101 - 2¹⁵ = 10101000988333 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 (10101001021103) 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, 417833575 + ... + 417857748.

It is an arithmetic number, because the mean of its divisors is an integer number (651839232720).

Almost surely, 2^{10101001021101} is an apocalyptic number.

It is an amenable number.

10101001021101 is a deficient number, since it is larger than the sum of its proper divisors (5543140564179).

10101001021101 is a wasteful number, since it uses less digits than its factorization.

10101001021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835691425 (or 835691422 counting only the distinct ones).

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

Adding to 10101001021101 its reverse (10112010010101), we get a palindrome (20213011031202).

The spelling of 10101001021101 in words is "ten trillion, one hundred one billion, one million, twenty-one thousand, one hundred one".