100201121311101 has 16 divisors (see below), whose sum is σ = 139411041108864. Its totient is φ = 63896007250944.

The previous prime is 100201121311087. The next prime is 100201121311127. The reversal of 100201121311101 is 101113121102001.

It is not a de Polignac number, because 100201121311101 - 2³¹ = 100198973827453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201121311171) 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, 8526345 + ... + 16525761.

It is an arithmetic number, because the mean of its divisors is an integer number (8713190069304).

Almost surely, 2^{100201121311101} is an apocalyptic number.

It is an amenable number.

100201121311101 is a deficient number, since it is larger than the sum of its proper divisors (39209919797763).

100201121311101 is a wasteful number, since it uses less digits than its factorization.

100201121311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180980.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100201121311101 its reverse (101113121102001), we get a palindrome (201314242413102).

The spelling of 100201121311101 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, three hundred eleven thousand, one hundred one".