100101221202113 has 8 divisors (see below), whose sum is σ = 105381671017920. Its totient is φ = 94821967835280.

The previous prime is 100101221202107. The next prime is 100101221202127. The reversal of 100101221202113 is 311202122101001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101221202113 - 2¹⁴ = 100101221185729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101221202091 and 100101221202100.

It is not an unprimeable number, because it can be changed into a prime (100101821202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298940498 + ... + 299275163.

It is an arithmetic number, because the mean of its divisors is an integer number (13172708877240).

Almost surely, 2^{100101221202113} is an apocalyptic number.

It is an amenable number.

100101221202113 is a deficient number, since it is larger than the sum of its proper divisors (5280449815807).

100101221202113 is an equidigital number, since it uses as much as digits as its factorization.

100101221202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598224487.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100101221202113 its reverse (311202122101001), we get a palindrome (411303343303114).

The spelling of 100101221202113 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred thirteen".