100121221020001 has 16 divisors (see below), whose sum is σ = 104689428480000. Its totient is φ = 95570960549328.

The previous prime is 100121221019957. The next prime is 100121221020043. The reversal of 100121221020001 is 100020122121001.

It is a cyclic number.

It is not a de Polignac number, because 100121221020001 - 2¹³ = 100121221011809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121221020901) 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, 217592160 + ... + 218051806.

It is an arithmetic number, because the mean of its divisors is an integer number (6543089280000).

Almost surely, 2^{100121221020001} is an apocalyptic number.

It is an amenable number.

100121221020001 is a deficient number, since it is larger than the sum of its proper divisors (4568207459999).

100121221020001 is a wasteful number, since it uses less digits than its factorization.

100121221020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479148.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121221020001 its reverse (100020122121001), we get a palindrome (200141343141002).

The spelling of 100121221020001 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty thousand, one".