10021020102101 has 4 divisors (see below), whose sum is σ = 10344278815104. Its totient is φ = 9697761389100.

The previous prime is 10021020102091. The next prime is 10021020102187. The reversal of 10021020102101 is 10120102012001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10021020102101 - 2²⁶ = 10020952993237 is a prime.

It is a super-3 number, since 3×10021020102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021020104101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161629356455 + ... + 161629356516.

It is an arithmetic number, because the mean of its divisors is an integer number (2586069703776).

Almost surely, 2^{10021020102101} is an apocalyptic number.

It is an amenable number.

10021020102101 is a deficient number, since it is larger than the sum of its proper divisors (323258713003).

10021020102101 is an equidigital number, since it uses as much as digits as its factorization.

10021020102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323258713002.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021020102101 its reverse (10120102012001), we get a palindrome (20141122114102).

The spelling of 10021020102101 in words is "ten trillion, twenty-one billion, twenty million, one hundred two thousand, one hundred one".