100121212210101 has 16 divisors (see below), whose sum is σ = 133758380099520. Its totient is φ = 66615824065280.

The previous prime is 100121212210031. The next prime is 100121212210157. The reversal of 100121212210101 is 101012212121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121212210101 - 2²⁵ = 100121178655669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121212210181) 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, 1850166 + ... + 14271143.

It is an arithmetic number, because the mean of its divisors is an integer number (8359898756220).

Almost surely, 2^{100121212210101} is an apocalyptic number.

It is an amenable number.

100121212210101 is a deficient number, since it is larger than the sum of its proper divisors (33637167889419).

100121212210101 is a wasteful number, since it uses less digits than its factorization.

100121212210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125396.

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

Adding to 100121212210101 its reverse (101012212121001), we get a palindrome (201133424331102).

The spelling of 100121212210101 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, one hundred one".