20100101021 has 48 divisors (see below), whose sum is σ = 27281276928. Its totient is φ = 14380142400.

The previous prime is 20100101003. The next prime is 20100101027. The reversal of 20100101021 is 12010100102.

It is not a de Polignac number, because 20100101021 - 2⁶ = 20100100957 is a prime.

It is a super-2 number, since 2×20100101021² (a number of 21 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 (20100101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2481440 + ... + 2489526.

It is an arithmetic number, because the mean of its divisors is an integer number (568359936).

Almost surely, 2^20100101021 is an apocalyptic number.

It is an amenable number.

20100101021 is a deficient number, since it is larger than the sum of its proper divisors (7181175907).

20100101021 is a wasteful number, since it uses less digits than its factorization.

20100101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8309 counting only the distinct ones).

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

Adding to 20100101021 its reverse (12010100102), we get a palindrome (32110201123).

It can be divided in two parts, 20100 and 101021, that added together give a palindrome (121121).

The spelling of 20100101021 in words is "twenty billion, one hundred million, one hundred one thousand, twenty-one".