20210101002 has 288 divisors, whose sum is σ = 57358094976. Its totient is φ = 5004322560.

The previous prime is 20210101001. The next prime is 20210101031. The reversal of 20210101002 is 20010101202.

It is a super-2 number, since 2×20210101002² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20210101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58242193 + ... + 58242539.

It is an arithmetic number, because the mean of its divisors is an integer number (199160052).

Almost surely, 2^20210101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28679047488).

20210101002 is an abundant number, since it is smaller than the sum of its proper divisors (37147993974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20210101002 is a wasteful number, since it uses less digits than its factorization.

20210101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20210101002 its reverse (20010101202), we get a palindrome (40220202204).

The spelling of 20210101002 in words is "twenty billion, two hundred ten million, one hundred one thousand, two".