10211020020 has 72 divisors (see below), whose sum is σ = 31012155720. Its totient is φ = 2719534080.

The previous prime is 10211020019. The next prime is 10211020021. The reversal of 10211020020 is 2002011201.

It is an interprime number because it is at equal distance from previous prime (10211020019) and next prime (10211020021).

It can be written as a sum of positive squares in 4 ways, for example, as 788823396 + 9422196624 = 28086^2 + 97068^2 .

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 = 10211019984 and 10211020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211020021) 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, 110560 + ... + 180680.

It is an arithmetic number, because the mean of its divisors is an integer number (430724385).

Almost surely, 2^10211020020 is an apocalyptic number.

10211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211020020 is an abundant number, since it is smaller than the sum of its proper divisors (20801135700).

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

10211020020 is a wasteful number, since it uses less digits than its factorization.

10211020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70945 (or 70940 counting only the distinct ones).

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

Adding to 10211020020 its reverse (2002011201), we get a palindrome (12213031221).

The spelling of 10211020020 in words is "ten billion, two hundred eleven million, twenty thousand, twenty".