100001011222101 has 16 divisors (see below), whose sum is σ = 146896174905408. Its totient is φ = 60006607392000.

The previous prime is 100001011222067. The next prime is 100001011222109. The reversal of 100001011222101 is 101222110100001.

It is not a de Polignac number, because 100001011222101 - 2²² = 100001007027797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011222109) 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, 15001648516 + ... + 15001655181.

It is an arithmetic number, because the mean of its divisors is an integer number (9181010931588).

Almost surely, 2^{100001011222101} is an apocalyptic number.

100001011222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001011222101 is a deficient number, since it is larger than the sum of its proper divisors (46895163683307).

100001011222101 is a wasteful number, since it uses less digits than its factorization.

100001011222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30003303812.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100001011222101 its reverse (101222110100001), we get a palindrome (201223121322102).

The spelling of 100001011222101 in words is "one hundred trillion, one billion, eleven million, two hundred twenty-two thousand, one hundred one".