101020002021001 has 16 divisors (see below), whose sum is σ = 115933698125440. Its totient is φ = 86227492619520.

The previous prime is 101020002020957. The next prime is 101020002021023. The reversal of 101020002021001 is 100120200020101.

It is not a de Polignac number, because 101020002021001 - 2¹¹ = 101020002018953 is a prime.

It is a super-2 number, since 2×101020002021001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020002021401) 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, 23872635 + ... + 27783856.

It is an arithmetic number, because the mean of its divisors is an integer number (7245856132840).

Almost surely, 2^{101020002021001} is an apocalyptic number.

It is an amenable number.

101020002021001 is a deficient number, since it is larger than the sum of its proper divisors (14913696104439).

101020002021001 is an equidigital number, since it uses as much as digits as its factorization.

101020002021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51657664.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020002021001 its reverse (100120200020101), we get a palindrome (201140202041102).

The spelling of 101020002021001 in words is "one hundred one trillion, twenty billion, two million, twenty-one thousand, one".