20101002010020 has 288 divisors, whose sum is σ = 62061231697920. Its totient is φ = 5265653944320.

The previous prime is 20101002010003. The next prime is 20101002010043. The reversal of 20101002010020 is 2001020010102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20101002009984 and 20101002010011.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1076119041 + ... + 1076137719.

It is an arithmetic number, because the mean of its divisors is an integer number (215490387840).

Almost surely, 2^{20101002010020} is an apocalyptic number.

20101002010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101002010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030615848960).

20101002010020 is an abundant number, since it is smaller than the sum of its proper divisors (41960229687900).

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

20101002010020 is a wasteful number, since it uses less digits than its factorization.

20101002010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275 (or 19270 counting only the distinct ones).

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

Adding to 20101002010020 its reverse (2001020010102), we get a palindrome (22102022020122).

The spelling of 20101002010020 in words is "twenty trillion, one hundred one billion, two million, ten thousand, twenty".