100121001211121 has 8 divisors (see below), whose sum is σ = 110125579094688. Its totient is φ = 91019092008900.

The previous prime is 100121001211081. The next prime is 100121001211139. The reversal of 100121001211121 is 121112100121001.

It is not a de Polignac number, because 100121001211121 - 2⁶ = 100121001211057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121001211096 and 100121001211105.

It is not an unprimeable number, because it can be changed into a prime (100121001211921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37611193715 + ... + 37611196376.

It is an arithmetic number, because the mean of its divisors is an integer number (13765697386836).

Almost surely, 2^{100121001211121} is an apocalyptic number.

100121001211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121001211121 is a deficient number, since it is larger than the sum of its proper divisors (10004577883567).

100121001211121 is an frugal number, since it uses more digits than its factorization.

100121001211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75222390124 (or 75222390102 counting only the distinct ones).

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

Adding to 100121001211121 its reverse (121112100121001), we get a palindrome (221233101332122).

The spelling of 100121001211121 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, one hundred twenty-one".