10001011101021 has 24 divisors (see below), whose sum is σ = 14559800565024. Its totient is φ = 6614798842080.

The previous prime is 10001011100939. The next prime is 10001011101031. The reversal of 10001011101021 is 12010111010001.

10001011101021 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 10001011101021 - 2²⁵ = 10000977546589 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001011100994 and 10001011101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011101031) 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, 3694615 + ... + 5801051.

It is an arithmetic number, because the mean of its divisors is an integer number (606658356876).

Almost surely, 2^{10001011101021} is an apocalyptic number.

It is an amenable number.

10001011101021 is a deficient number, since it is larger than the sum of its proper divisors (4558789464003).

10001011101021 is a wasteful number, since it uses less digits than its factorization.

10001011101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110601 (or 2110598 counting only the distinct ones).

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

Adding to 10001011101021 its reverse (12010111010001), we get a palindrome (22011122111022).

The spelling of 10001011101021 in words is "ten trillion, one billion, eleven million, one hundred one thousand, twenty-one".