100200222201101 has 64 divisors (see below), whose sum is σ = 112973023088640. Its totient is φ = 88085692477440.

The previous prime is 100200222201097. The next prime is 100200222201103. The reversal of 100200222201101 is 101102222002001.

It is a cyclic number.

It is not a de Polignac number, because 100200222201101 - 2² = 100200222201097 is a prime.

It is a super-2 number, since 2×100200222201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200222201103) 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 63 ways as a sum of consecutive naturals, for example, 37430040575 + ... + 37430043251.

It is an arithmetic number, because the mean of its divisors is an integer number (1765203485760).

Almost surely, 2^{100200222201101} is an apocalyptic number.

100200222201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200222201101 is a deficient number, since it is larger than the sum of its proper divisors (12772800887539).

100200222201101 is a wasteful number, since it uses less digits than its factorization.

100200222201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100200222201101 its reverse (101102222002001), we get a palindrome (201302444203102).

The spelling of 100200222201101 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, two hundred one thousand, one hundred one".