100100201301221 has 16 divisors (see below), whose sum is σ = 109317049536960. Its totient is φ = 90902828661120.

The previous prime is 100100201301211. The next prime is 100100201301241. The reversal of 100100201301221 is 122103102001001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100201301221 is a prime.

It is a super-3 number, since 3×100100201301221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100201301196 and 100100201301205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100201301211) 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, 947390231 + ... + 947495883.

It is an arithmetic number, because the mean of its divisors is an integer number (6832315596060).

Almost surely, 2^{100100201301221} is an apocalyptic number.

100100201301221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100201301221 is a deficient number, since it is larger than the sum of its proper divisors (9216848235739).

100100201301221 is a wasteful number, since it uses less digits than its factorization.

100100201301221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196996.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100100201301221 its reverse (122103102001001), we get a palindrome (222203303302222).

The spelling of 100100201301221 in words is "one hundred trillion, one hundred billion, two hundred one million, three hundred one thousand, two hundred twenty-one".