2021001100101 has 24 divisors (see below), whose sum is σ = 3106632970584. Its totient is φ = 1261642152960.

The previous prime is 2021001100057. The next prime is 2021001100133. The reversal of 2021001100101 is 1010011001202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 984679136100 + 1036321964001 = 992310^2 + 1017999^2 .

It is not a de Polignac number, because 2021001100101 - 2¹⁸ = 2021000837957 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 (2021003100101) 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, 33495640 + ... + 33555921.

It is an arithmetic number, because the mean of its divisors is an integer number (129443040441).

Almost surely, 2^{2021001100101} is an apocalyptic number.

It is an amenable number.

2021001100101 is a deficient number, since it is larger than the sum of its proper divisors (1085631870483).

2021001100101 is a wasteful number, since it uses less digits than its factorization.

2021001100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67051781 (or 67051778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2021001100101 its reverse (1010011001202), we get a palindrome (3031012101303).

The spelling of 2021001100101 in words is "two trillion, twenty-one billion, one million, one hundred thousand, one hundred one".