121001120121101 has 64 divisors (see below), whose sum is σ = 138063296102400. Its totient is φ = 105038943609600.

The previous prime is 121001120121053. The next prime is 121001120121103. The reversal of 121001120121101 is 101121021100121.

It is not a de Polignac number, because 121001120121101 - 2²² = 121001115926797 is a prime.

It is a super-2 number, since 2×121001120121101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001120121103) 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, 26185048571 + ... + 26185053191.

It is an arithmetic number, because the mean of its divisors is an integer number (2157239001600).

Almost surely, 2^{121001120121101} is an apocalyptic number.

121001120121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001120121101 is a deficient number, since it is larger than the sum of its proper divisors (17062175981299).

121001120121101 is a wasteful number, since it uses less digits than its factorization.

121001120121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121001120121101 its reverse (101121021100121), we get a palindrome (222122141221222).

The spelling of 121001120121101 in words is "one hundred twenty-one trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred one".