10020010100101 has 8 divisors (see below), whose sum is σ = 10022531573880. Its totient is φ = 10017488952768.

The previous prime is 10020010100099. The next prime is 10020010100129. The reversal of 10020010100101 is 10100101002001.

It can be written as a sum of positive squares in 4 ways, for example, as 2777188920100 + 7242821180001 = 1666490^2 + 2691249^2 .

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 10020010100101 - 2¹ = 10020010100099 is a prime.

It is a super-2 number, since 2×10020010100101² (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 (10020010107101) 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, 68333475 + ... + 68479951.

It is an arithmetic number, because the mean of its divisors is an integer number (1252816446735).

Almost surely, 2^{10020010100101} is an apocalyptic number.

It is an amenable number.

10020010100101 is a deficient number, since it is larger than the sum of its proper divisors (2521473779).

10020010100101 is an equidigital number, since it uses as much as digits as its factorization.

10020010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163223.

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

Adding to 10020010100101 its reverse (10100101002001), we get a palindrome (20120111102102).

The spelling of 10020010100101 in words is "ten trillion, twenty billion, ten million, one hundred thousand, one hundred one".