100210222001001 has 96 divisors (see below), whose sum is σ = 166440046147200. Its totient is φ = 53315560488960.

The previous prime is 100210222000991. The next prime is 100210222001053. The reversal of 100210222001001 is 100100222012001.

It is not a de Polignac number, because 100210222001001 - 2¹⁷ = 100210221869929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210222001501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56418265 + ... + 58167353.

It is an arithmetic number, because the mean of its divisors is an integer number (1733750480700).

Almost surely, 2^{100210222001001} is an apocalyptic number.

It is an amenable number.

100210222001001 is a deficient number, since it is larger than the sum of its proper divisors (66229824146199).

100210222001001 is a wasteful number, since it uses less digits than its factorization.

100210222001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749479 (or 1749472 counting only the distinct ones).

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

Adding to 100210222001001 its reverse (100100222012001), we get a palindrome (200310444013002).

The spelling of 100210222001001 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-two million, one thousand, one".