100201211021121 has 16 divisors (see below), whose sum is σ = 152688043569024. Its totient is φ = 57257653400064.

The previous prime is 100201211021113. The next prime is 100201211021167. The reversal of 100201211021121 is 121120112102001.

It is a happy number.

It is not a de Polignac number, because 100201211021121 - 2³ = 100201211021113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100201211021121.

It is not an unprimeable number, because it can be changed into a prime (100201211071121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629680 + ... + 14170353.

It is an arithmetic number, because the mean of its divisors is an integer number (9543002723064).

Almost surely, 2^{100201211021121} is an apocalyptic number.

It is an amenable number.

100201211021121 is a deficient number, since it is larger than the sum of its proper divisors (52486832547903).

100201211021121 is a wasteful number, since it uses less digits than its factorization.

100201211021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122440.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100201211021121 its reverse (121120112102001), we get a palindrome (221321323123122).

The spelling of 100201211021121 in words is "one hundred trillion, two hundred one billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".