121100121011001 has 64 divisors (see below), whose sum is σ = 180694360313856. Its totient is φ = 71513079360000.

The previous prime is 121100121010963. The next prime is 121100121011027. The reversal of 121100121011001 is 100110121001121.

It is not a de Polignac number, because 121100121011001 - 2¹⁰ = 121100121009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121100121011041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481383751 + ... + 481635251.

It is an arithmetic number, because the mean of its divisors is an integer number (2823349379904).

Almost surely, 2^{121100121011001} is an apocalyptic number.

121100121011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121100121011001 is a deficient number, since it is larger than the sum of its proper divisors (59594239302855).

121100121011001 is a wasteful number, since it uses less digits than its factorization.

121100121011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252942.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121100121011001 its reverse (100110121001121), we get a palindrome (221210242012122).

The spelling of 121100121011001 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, eleven thousand, one".