121100101001 has 48 divisors (see below), whose sum is σ = 146934756864. Its totient is φ = 99274560000.

The previous prime is 121100100997. The next prime is 121100101019. The reversal of 121100101001 is 100101001121.

It is a happy number.

It is not a de Polignac number, because 121100101001 - 2² = 121100100997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121100101001.

It is not an unprimeable number, because it can be changed into a prime (121100101021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6431066 + ... + 6449868.

It is an arithmetic number, because the mean of its divisors is an integer number (3061140768).

Almost surely, 2^121100101001 is an apocalyptic number.

121100101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121100101001 is a deficient number, since it is larger than the sum of its proper divisors (25834655863).

121100101001 is a wasteful number, since it uses less digits than its factorization.

121100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121100101001 its reverse (100101001121), we get a palindrome (221201102122).

It can be divided in two parts, 121 and 100101001, that multiplied together give a palindrome (12112221121).

The spelling of 121100101001 in words is "one hundred twenty-one billion, one hundred million, one hundred one thousand, one".