100201121011201 has 16 divisors (see below), whose sum is σ = 117394069580928. Its totient is φ = 83730849552000.

The previous prime is 100201121011169. The next prime is 100201121011259. The reversal of 100201121011201 is 102110121102001.

It is a happy number.

It is not a de Polignac number, because 100201121011201 - 2⁵ = 100201121011169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201121011501) 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, 126748275 + ... + 127536376.

It is an arithmetic number, because the mean of its divisors is an integer number (7337129348808).

Almost surely, 2^{100201121011201} is an apocalyptic number.

It is an amenable number.

100201121011201 is a deficient number, since it is larger than the sum of its proper divisors (17192948569727).

100201121011201 is a wasteful number, since it uses less digits than its factorization.

100201121011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254286072.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201121011201 its reverse (102110121102001), we get a palindrome (202311242113202).

The spelling of 100201121011201 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, eleven thousand, two hundred one".