100121210001101 has 16 divisors (see below), whose sum is σ = 105676753132800. Its totient is φ = 94594616036928.

The previous prime is 100121210000957. The next prime is 100121210001151. The reversal of 100121210001101 is 101100012121001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121210001101 is a prime.

It is a super-4 number, since 4×100121210001101⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121210001151) 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, 5500571 + ... + 15182183.

It is an arithmetic number, because the mean of its divisors is an integer number (6604797070800).

Almost surely, 2^{100121210001101} is an apocalyptic number.

It is an amenable number.

100121210001101 is a deficient number, since it is larger than the sum of its proper divisors (5555543131699).

100121210001101 is an equidigital number, since it uses as much as digits as its factorization.

100121210001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683108.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121210001101 its reverse (101100012121001), we get a palindrome (201221222122102).

The spelling of 100121210001101 in words is "one hundred trillion, one hundred twenty-one billion, two hundred ten million, one thousand, one hundred one".