20100020010 has 192 divisors, whose sum is σ = 59255193600. Its totient is φ = 4338811008.

The previous prime is 20100020009. The next prime is 20100020021. The reversal of 20100020010 is 1002000102.

It is a happy number.

It is a super-3 number, since 3×20100020010³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10696251 + ... + 10698129.

It is an arithmetic number, because the mean of its divisors is an integer number (308620800).

Almost surely, 2^20100020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29627596800).

20100020010 is an abundant number, since it is smaller than the sum of its proper divisors (39155173590).

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

20100020010 is a wasteful number, since it uses less digits than its factorization.

20100020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20100020010 its reverse (1002000102), we get a palindrome (21102020112).

The spelling of 20100020010 in words is "twenty billion, one hundred million, twenty thousand, ten".