100011021100221 has 64 divisors (see below), whose sum is σ = 173502534905856. Its totient is φ = 49688587660800.

The previous prime is 100011021100189. The next prime is 100011021100229. The reversal of 100011021100221 is 122001120110001.

It is not a de Polignac number, because 100011021100221 - 2⁵ = 100011021100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011021100197 and 100011021100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011021100229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40655641 + ... + 43045361.

It is an arithmetic number, because the mean of its divisors is an integer number (2710977107904).

Almost surely, 2^{100011021100221} is an apocalyptic number.

100011021100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011021100221 is a deficient number, since it is larger than the sum of its proper divisors (73491513805635).

100011021100221 is a wasteful number, since it uses less digits than its factorization.

100011021100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397642.

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

Adding to 100011021100221 its reverse (122001120110001), we get a palindrome (222012141210222).

The spelling of 100011021100221 in words is "one hundred trillion, eleven billion, twenty-one million, one hundred thousand, two hundred twenty-one".