10020001222100 has 18 divisors (see below), whose sum is σ = 21743402652174. Its totient is φ = 4008000488800.

The previous prime is 10020001222093. The next prime is 10020001222103. The reversal of 10020001222100 is 122210002001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 595113502096 + 9424887720004 = 771436^2 + 3069998^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020001222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50100006011 + ... + 50100006210.

Almost surely, 2^{10020001222100} is an apocalyptic number.

10020001222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020001222100 is an abundant number, since it is smaller than the sum of its proper divisors (11723401430074).

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

10020001222100 is a wasteful number, since it uses less digits than its factorization.

10020001222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100200012235 (or 100200012228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020001222100 its reverse (122210002001), we get a palindrome (10142211224101).

The spelling of 10020001222100 in words is "ten trillion, twenty billion, one million, two hundred twenty-two thousand, one hundred".