221020001000100 has 54 divisors (see below), whose sum is σ = 692774914248690. Its totient is φ = 58938666933120.

The previous prime is 221020001000093. The next prime is 221020001000101. The reversal of 221020001000100 is 1000100020122.

It can be written as a sum of positive squares in 3 ways, for example, as 41944378696704 + 179075622303396 = 6476448^2 + 13381914^2 .

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 (221020001000101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122788888545 + ... + 122788890344.

Almost surely, 2^{221020001000100} is an apocalyptic number.

221020001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020001000100 is an abundant number, since it is smaller than the sum of its proper divisors (471754913248590).

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

221020001000100 is a wasteful number, since it uses less digits than its factorization.

221020001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245577778909 (or 245577778899 counting only the distinct ones).

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

Adding to 221020001000100 its reverse (1000100020122), we get a palindrome (222020101020222).

The spelling of 221020001000100 in words is "two hundred twenty-one trillion, twenty billion, one million, one hundred", and thus it is an aban number.