10100222200101 has 128 divisors (see below), whose sum is σ = 16081315430400. Its totient is φ = 5569765376000.

The previous prime is 10100222200093. The next prime is 10100222200139.

10100222200101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10100222200101 - 2³ = 10100222200093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100222200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1195712860 + ... + 1195721306.

It is an arithmetic number, because the mean of its divisors is an integer number (125635276800).

Almost surely, 2^{10100222200101} is an apocalyptic number.

10100222200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100222200101 is a deficient number, since it is larger than the sum of its proper divisors (5981093230299).

10100222200101 is a wasteful number, since it uses less digits than its factorization.

10100222200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075.

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

It can be divided in two parts, 1010022 and 2200101, that added together give a palindrome (3210123).

The spelling of 10100222200101 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred one".