100200201121021 has 6 divisors (see below), whose sum is σ = 103536732272766. Its totient is φ = 96967936567800.

The previous prime is 100200201120991. The next prime is 100200201121063. The reversal of 100200201121021 is 120121102002001.

It can be written as a sum of positive squares in only one way, i.e., 93012252449796 + 7187948671225 = 9644286^2 + 2681035^2 .

It is not a de Polignac number, because 100200201121021 - 2⁴³ = 91404108098813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200201120992 and 100200201121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200201121091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52133298270 + ... + 52133300191.

It is an arithmetic number, because the mean of its divisors is an integer number (17256122045461).

Almost surely, 2^{100200201121021} is an apocalyptic number.

It is an amenable number.

100200201121021 is a deficient number, since it is larger than the sum of its proper divisors (3336531151745).

100200201121021 is an equidigital number, since it uses as much as digits as its factorization.

100200201121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104266598523 (or 104266598492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100200201121021 its reverse (120121102002001), we get a palindrome (220321303123022).

The spelling of 100200201121021 in words is "one hundred trillion, two hundred billion, two hundred one million, one hundred twenty-one thousand, twenty-one".