100211210010201 has 16 divisors (see below), whose sum is σ = 138225818217600. Its totient is φ = 64502152891008.

The previous prime is 100211210010091. The next prime is 100211210010287. The reversal of 100211210010201 is 102010012112001.

It is not a de Polignac number, because 100211210010201 - 2¹⁸ = 100211209748057 is a prime.

It is a super-2 number, since 2×100211210010201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211210010601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10914141 + ... + 17875706.

It is an arithmetic number, because the mean of its divisors is an integer number (8639113638600).

Almost surely, 2^{100211210010201} is an apocalyptic number.

It is an amenable number.

100211210010201 is a deficient number, since it is larger than the sum of its proper divisors (38014608207399).

100211210010201 is a wasteful number, since it uses less digits than its factorization.

100211210010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829888.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211210010201 its reverse (102010012112001), we get a palindrome (202221222122202).

The spelling of 100211210010201 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, ten thousand, two hundred one".