100121121011201 has 4 divisors (see below), whose sum is σ = 100121263912404. Its totient is φ = 100120978110000.

The previous prime is 100121121011189. The next prime is 100121121011221. The reversal of 100121121011201 is 102110121121001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30264037628176 + 69857083383025 = 5501276^2 + 8358055^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121121011201 - 2⁶ = 100121121011137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121121011221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70394450 + ... + 71802651.

It is an arithmetic number, because the mean of its divisors is an integer number (25030315978101).

Almost surely, 2^{100121121011201} is an apocalyptic number.

It is an amenable number.

100121121011201 is a deficient number, since it is larger than the sum of its proper divisors (142901203).

100121121011201 is an equidigital number, since it uses as much as digits as its factorization.

100121121011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142901202.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121121011201 its reverse (102110121121001), we get a palindrome (202231242132202).

The spelling of 100121121011201 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand, two hundred one".