100012121221201 has 16 divisors (see below), whose sum is σ = 117586805117184. Its totient is φ = 83290653561024.

The previous prime is 100012121221183. The next prime is 100012121221223. The reversal of 100012121221201 is 102122121210001.

It is not a de Polignac number, because 100012121221201 - 2¹³ = 100012121213009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012121221601) 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, 1308575626 + ... + 1308652051.

It is an arithmetic number, because the mean of its divisors is an integer number (7349175319824).

Almost surely, 2^{100012121221201} is an apocalyptic number.

It is an amenable number.

100012121221201 is a deficient number, since it is larger than the sum of its proper divisors (17574683895983).

100012121221201 is a wasteful number, since it uses less digits than its factorization.

100012121221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617227840.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100012121221201 its reverse (102122121210001), we get a palindrome (202134242431202).

The spelling of 100012121221201 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred one".