100210022200101 has 16 divisors (see below), whose sum is σ = 145852343976960. Its totient is φ = 60694883585520.

The previous prime is 100210022200087. The next prime is 100210022200109. The reversal of 100210022200101 is 101002220012001.

It is not a de Polignac number, because 100210022200101 - 2¹⁷ = 100210022069029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210022200109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961527165 + ... + 961631378.

It is an arithmetic number, because the mean of its divisors is an integer number (9115771498560).

Almost surely, 2^{100210022200101} is an apocalyptic number.

100210022200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210022200101 is a deficient number, since it is larger than the sum of its proper divisors (45642321776859).

100210022200101 is a wasteful number, since it uses less digits than its factorization.

100210022200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923160136.

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

Adding to 100210022200101 its reverse (101002220012001), we get a palindrome (201212242212102).

The spelling of 100210022200101 in words is "one hundred trillion, two hundred ten billion, twenty-two million, two hundred thousand, one hundred one".