9901010002101 has 16 divisors (see below), whose sum is σ = 13359886364160. Its totient is φ = 6521676363200.

The previous prime is 9901010002099. The next prime is 9901010002157. The reversal of 9901010002101 is 1012000101099.

It is a cyclic number.

It is not a de Polignac number, because 9901010002101 - 2¹ = 9901010002099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901010002201) 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, 33964050 + ... + 34254323.

It is an arithmetic number, because the mean of its divisors is an integer number (834992897760).

Almost surely, 2^{9901010002101} is an apocalyptic number.

It is an amenable number.

9901010002101 is a deficient number, since it is larger than the sum of its proper divisors (3458876362059).

9901010002101 is a wasteful number, since it uses less digits than its factorization.

9901010002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68218956.

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 9901010002101 in words is "nine trillion, nine hundred one billion, ten million, two thousand, one hundred one".