9901011010001 has 8 divisors (see below), whose sum is σ = 10483452258120. Its totient is φ = 9318572965888.

The previous prime is 9901011009983. The next prime is 9901011010021. The reversal of 9901011010001 is 1000101101099.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6027687868225 + 3873323141776 = 2455135^2 + 1968076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9901011010001 - 2²⁶ = 9900943901137 is a prime.

It is a super-2 number, since 2×9901011010001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9901011010021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8959265 + ... + 10003521.

It is an arithmetic number, because the mean of its divisors is an integer number (1310431532265).

Almost surely, 2^{9901011010001} is an apocalyptic number.

It is an amenable number.

9901011010001 is a deficient number, since it is larger than the sum of its proper divisors (582441248119).

9901011010001 is a wasteful number, since it uses less digits than its factorization.

9901011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602003.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 9901011010001 in words is "nine trillion, nine hundred one billion, eleven million, ten thousand, one".