100210001000201 has 8 divisors (see below), whose sum is σ = 104977740028800. Its totient is φ = 95529743421840.

The previous prime is 100210001000191. The next prime is 100210001000257. The reversal of 100210001000201 is 102000100012001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210001000201 is a prime.

It is a super-3 number, since 3×100210001000201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100210001060201) 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, 21870360215 + ... + 21870364796.

It is an arithmetic number, because the mean of its divisors is an integer number (13122217503600).

Almost surely, 2^{100210001000201} is an apocalyptic number.

It is an amenable number.

100210001000201 is a deficient number, since it is larger than the sum of its proper divisors (4767739028599).

100210001000201 is an equidigital number, since it uses as much as digits as its factorization.

100210001000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43740725119.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210001000201 its reverse (102000100012001), we get a palindrome (202210101012202).

The spelling of 100210001000201 in words is "one hundred trillion, two hundred ten billion, one million, two hundred one", and thus it is an aban number.