100210120200201 has 64 divisors (see below), whose sum is σ = 157151174823936. Its totient is φ = 56120993510400.

The previous prime is 100210120200193. The next prime is 100210120200209. The reversal of 100210120200201 is 102002021012001.

It is an interprime number because it is at equal distance from previous prime (100210120200193) and next prime (100210120200209).

It is not a de Polignac number, because 100210120200201 - 2³ = 100210120200193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210120200209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16042176 + ... + 21395598.

It is an arithmetic number, because the mean of its divisors is an integer number (2455487106624).

Almost surely, 2^{100210120200201} is an apocalyptic number.

100210120200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210120200201 is a deficient number, since it is larger than the sum of its proper divisors (56941054623735).

100210120200201 is a wasteful number, since it uses less digits than its factorization.

100210120200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354062.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210120200201 its reverse (102002021012001), we get a palindrome (202212141212202).

The spelling of 100210120200201 in words is "one hundred trillion, two hundred ten billion, one hundred twenty million, two hundred thousand, two hundred one".