20110100021001 has 24 divisors (see below), whose sum is σ = 29104157537000. Its totient is φ = 13380803444736.

The previous prime is 20110100020991. The next prime is 20110100021059. The reversal of 20110100021001 is 10012000101102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1071721857600 + 19038378163401 = 1035240^2 + 4363299^2 .

It is not a de Polignac number, because 20110100021001 - 2²⁵ = 20110066466569 is a prime.

It is a super-2 number, since 2×20110100021001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20110100021101) 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, 8689125 + ... + 10757373.

Almost surely, 2^{20110100021001} is an apocalyptic number.

It is an amenable number.

20110100021001 is a deficient number, since it is larger than the sum of its proper divisors (8994057515999).

20110100021001 is a wasteful number, since it uses less digits than its factorization.

20110100021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070345 (or 2070342 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20110100021001 its reverse (10012000101102), we get a palindrome (30122100122103).

The spelling of 20110100021001 in words is "twenty trillion, one hundred ten billion, one hundred million, twenty-one thousand, one".