100210122222001 has 6 divisors (see below), whose sum is σ = 110148316161506. Its totient is φ = 91100111110800.

The previous prime is 100210122221959. The next prime is 100210122222013. The reversal of 100210122222001 is 100222221012001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86378417412001 + 13831704810000 = 9293999^2 + 3719100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100210122222001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210122222061) 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, 414091414020 + ... + 414091414261.

Almost surely, 2^{100210122222001} is an apocalyptic number.

100210122222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210122222001 is a deficient number, since it is larger than the sum of its proper divisors (9938193939505).

100210122222001 is an equidigital number, since it uses as much as digits as its factorization.

100210122222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828182828303 (or 828182828292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210122222001 its reverse (100222221012001), we get a palindrome (200432343234002).

The spelling of 100210122222001 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-two thousand, one".