1020100312121 has 16 divisors (see below), whose sum is σ = 1179555410880. Its totient is φ = 871881454080.

The previous prime is 1020100312117. The next prime is 1020100312123. The reversal of 1020100312121 is 1212130010201.

It is a cyclic number.

It is not a de Polignac number, because 1020100312121 - 2² = 1020100312117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020100312096 and 1020100312105.

It is not an unprimeable number, because it can be changed into a prime (1020100312123) 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, 2735711 + ... + 3086148.

It is an arithmetic number, because the mean of its divisors is an integer number (73722213180).

Almost surely, 2^{1020100312121} is an apocalyptic number.

1020100312121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020100312121 is a deficient number, since it is larger than the sum of its proper divisors (159455098759).

1020100312121 is a wasteful number, since it uses less digits than its factorization.

1020100312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822824.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1020100312121 its reverse (1212130010201), we get a palindrome (2232230322322).

The spelling of 1020100312121 in words is "one trillion, twenty billion, one hundred million, three hundred twelve thousand, one hundred twenty-one".