100122121101 has 16 divisors (see below), whose sum is σ = 137198875968. Its totient is φ = 64899216000.

The previous prime is 100122121097. The next prime is 100122121111. The reversal of 100122121101 is 101121221001.

It is not a de Polignac number, because 100122121101 - 2² = 100122121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122121111) 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, 149760 + ... + 471881.

It is an arithmetic number, because the mean of its divisors is an integer number (8574929748).

Almost surely, 2^100122121101 is an apocalyptic number.

It is an amenable number.

100122121101 is a deficient number, since it is larger than the sum of its proper divisors (37076754867).

100122121101 is a wasteful number, since it uses less digits than its factorization.

100122121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623132.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122121101 its reverse (101121221001), we get a palindrome (201243342102).

It can be divided in two parts, 10012 and 2121101, that multiplied together give a palindrome (21236463212).

The spelling of 100122121101 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".