100210221222001 has 32 divisors (see below), whose sum is σ = 120555549434880. Its totient is φ = 82224145080000.

The previous prime is 100210221221959. The next prime is 100210221222037. The reversal of 100210221222001 is 100222122012001.

It is a happy number.

It is not a de Polignac number, because 100210221222001 - 2⁹ = 100210221221489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210221202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40320790 + ... + 42733903.

It is an arithmetic number, because the mean of its divisors is an integer number (3767360919840).

Almost surely, 2^{100210221222001} is an apocalyptic number.

100210221222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210221222001 is a deficient number, since it is larger than the sum of its proper divisors (20345328212879).

100210221222001 is a wasteful number, since it uses less digits than its factorization.

100210221222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83054997.

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

Adding to 100210221222001 its reverse (100222122012001), we get a palindrome (200432343234002).

The spelling of 100210221222001 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one".