20010010021001 has 24 divisors (see below), whose sum is σ = 27346347370944. Its totient is φ = 14392814395680.

The previous prime is 20010010020919. The next prime is 20010010021069. The reversal of 20010010021001 is 10012001001002.

It is not a de Polignac number, because 20010010021001 - 2¹⁴ = 20010010004617 is a prime.

It is a super-5 number, since 5×20010010021001⁵ (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20010010021001.

It is not an unprimeable number, because it can be changed into a prime (20010010020001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427851565 + ... + 1427865578.

It is an arithmetic number, because the mean of its divisors is an integer number (1139431140456).

Almost surely, 2^{20010010021001} is an apocalyptic number.

It is an amenable number.

20010010021001 is a deficient number, since it is larger than the sum of its proper divisors (7336337349943).

20010010021001 is a wasteful number, since it uses less digits than its factorization.

20010010021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855717181 (or 2855717174 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20010010021001 its reverse (10012001001002), we get a palindrome (30022011022003).

It can be divided in two parts, 2001001002 and 1001, that multiplied together give a palindrome (2003002003002).

The spelling of 20010010021001 in words is "twenty trillion, ten billion, ten million, twenty-one thousand, one".