1010001002101 has 96 divisors (see below), whose sum is σ = 1411493973120. Its totient is φ = 711883468800.

The previous prime is 1010001002083. The next prime is 1010001002107. The reversal of 1010001002101 is 1012001000101.

1010001002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010001002101 - 2⁹ = 1010001001589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001002107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413764041 + ... + 413766481.

It is an arithmetic number, because the mean of its divisors is an integer number (14703062220).

Almost surely, 2^{1010001002101} is an apocalyptic number.

It is an amenable number.

1010001002101 is a deficient number, since it is larger than the sum of its proper divisors (401492971019).

1010001002101 is a wasteful number, since it uses less digits than its factorization.

1010001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010001002101 its reverse (1012001000101), we get a palindrome (2022002002202).

The spelling of 1010001002101 in words is "one trillion, ten billion, one million, two thousand, one hundred one".