100201222011121 has 32 divisors (see below), whose sum is σ = 125075277250560. Its totient is φ = 77985742075200.

The previous prime is 100201222011067. The next prime is 100201222011151. The reversal of 100201222011121 is 121110222102001.

It is a cyclic number.

It is not a de Polignac number, because 100201222011121 - 2⁷ = 100201222010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201222011095 and 100201222011104.

It is not an unprimeable number, because it can be changed into a prime (100201222011151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291484740 + ... + 291828298.

It is an arithmetic number, because the mean of its divisors is an integer number (3908602414080).

Almost surely, 2^{100201222011121} is an apocalyptic number.

100201222011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201222011121 is a deficient number, since it is larger than the sum of its proper divisors (24874055239439).

100201222011121 is a wasteful number, since it uses less digits than its factorization.

100201222011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348085.

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

Adding to 100201222011121 its reverse (121110222102001), we get a palindrome (221311444113122).

The spelling of 100201222011121 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, eleven thousand, one hundred twenty-one".