1001012100121 has 48 divisors (see below), whose sum is σ = 1186177385088. Its totient is φ = 837290854400.

The previous prime is 1001012100107. The next prime is 1001012100149. The reversal of 1001012100121 is 1210012101001.

It is not a de Polignac number, because 1001012100121 - 2⁵ = 1001012100089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001012100098 and 1001012100107.

It is not an unprimeable number, because it can be changed into a prime (1001012100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47334276 + ... + 47355418.

It is an arithmetic number, because the mean of its divisors is an integer number (24712028856).

Almost surely, 2^{1001012100121} is an apocalyptic number.

1001012100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001012100121 is a deficient number, since it is larger than the sum of its proper divisors (185165284967).

1001012100121 is a wasteful number, since it uses less digits than its factorization.

1001012100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001012100121 its reverse (1210012101001), we get a palindrome (2211024201122).

The spelling of 1001012100121 in words is "one trillion, one billion, twelve million, one hundred thousand, one hundred twenty-one".