10000021001101 has 16 divisors (see below), whose sum is σ = 10443380688000. Its totient is φ = 9557379330048.

The previous prime is 10000021001099. The next prime is 10000021001141. The reversal of 10000021001101 is 10110012000001.

It is a cyclic number.

It is not a de Polignac number, because 10000021001101 - 2¹ = 10000021001099 is a prime.

It is a super-2 number, since 2×10000021001101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000021001141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141110125 + ... + 141180973.

It is an arithmetic number, because the mean of its divisors is an integer number (652711293000).

Almost surely, 2^{10000021001101} is an apocalyptic number.

It is an amenable number.

10000021001101 is a deficient number, since it is larger than the sum of its proper divisors (443359686899).

10000021001101 is a wasteful number, since it uses less digits than its factorization.

10000021001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75828.

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

Adding to 10000021001101 its reverse (10110012000001), we get a palindrome (20110033001102).

The spelling of 10000021001101 in words is "ten trillion, twenty-one million, one thousand, one hundred one".