1012121001001 has 16 divisors (see below), whose sum is σ = 1128331180800. Its totient is φ = 899968567680.

The previous prime is 1012121000887. The next prime is 1012121001053. The reversal of 1012121001001 is 1001001212101.

It is a cyclic number.

It is not a de Polignac number, because 1012121001001 - 2²¹ = 1012118903849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012121001061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212725 + ... + 1438573.

It is an arithmetic number, because the mean of its divisors is an integer number (70520698800).

Almost surely, 2^{1012121001001} is an apocalyptic number.

1012121001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012121001001 is a deficient number, since it is larger than the sum of its proper divisors (116210179799).

1012121001001 is a wasteful number, since it uses less digits than its factorization.

1012121001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227504.

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

Adding to 1012121001001 its reverse (1001001212101), we get a palindrome (2013122213102).

The spelling of 1012121001001 in words is "one trillion, twelve billion, one hundred twenty-one million, one thousand, one".