100200012011021 has 8 divisors (see below), whose sum is σ = 107908970452920. Its totient is φ = 92491234313472.

The previous prime is 100200012011003. The next prime is 100200012011063. The reversal of 100200012011021 is 120110210002001.

It can be written as a sum of positive squares in 4 ways, for example, as 3408140593225 + 96791871417796 = 1846115^2 + 9838286^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100200012011021 - 2⁶ = 100200012010957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200012010993 and 100200012011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200012011321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44033600 + ... + 46253193.

It is an arithmetic number, because the mean of its divisors is an integer number (13488621306615).

Almost surely, 2^{100200012011021} is an apocalyptic number.

It is an amenable number.

100200012011021 is a deficient number, since it is larger than the sum of its proper divisors (7708958441899).

100200012011021 is an equidigital number, since it uses as much as digits as its factorization.

100200012011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90372175.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200012011021 its reverse (120110210002001), we get a palindrome (220310222013022).

The spelling of 100200012011021 in words is "one hundred trillion, two hundred billion, twelve million, eleven thousand, twenty-one".