10000011220020 has 72 divisors (see below), whose sum is σ = 30333739120776. Its totient is φ = 2666636977152.

The previous prime is 10000011220013. The next prime is 10000011220027. The reversal of 10000011220020 is 2002211000001.

It is an interprime number because it is at equal distance from previous prime (10000011220013) and next prime (10000011220027).

It can be written as a sum of positive squares in 4 ways, for example, as 225809337636 + 9774201882384 = 475194^2 + 3126372^2 .

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 = 10000011219984 and 10000011220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011220027) 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, 16769704 + ... + 17355776.

It is an arithmetic number, because the mean of its divisors is an integer number (421301932233).

Almost surely, 2^{10000011220020} is an apocalyptic number.

10000011220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000011220020 is an abundant number, since it is smaller than the sum of its proper divisors (20333727900756).

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

10000011220020 is a wasteful number, since it uses less digits than its factorization.

10000011220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680881 (or 680876 counting only the distinct ones).

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

Adding to 10000011220020 its reverse (2002211000001), we get a palindrome (12002222220021).

The spelling of 10000011220020 in words is "ten trillion, eleven million, two hundred twenty thousand, twenty".