1001201201121 has 128 divisors (see below), whose sum is σ = 1602478080000. Its totient is φ = 549221541120.

The previous prime is 1001201201113. The next prime is 1001201201123. The reversal of 1001201201121 is 1211021021001.

It is not a de Polignac number, because 1001201201121 - 2³ = 1001201201113 is a prime.

It is a super-2 number, since 2×1001201201121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001201201097 and 1001201201106.

It is not an unprimeable number, because it can be changed into a prime (1001201201123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210641910 + ... + 1210642736.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360000).

Almost surely, 2^{1001201201121} is an apocalyptic number.

1001201201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001201201121 is a deficient number, since it is larger than the sum of its proper divisors (601276878879).

1001201201121 is a wasteful number, since it uses less digits than its factorization.

1001201201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001201201121 its reverse (1211021021001), we get a palindrome (2212222222122).

The spelling of 1001201201121 in words is "one trillion, one billion, two hundred one million, two hundred one thousand, one hundred twenty-one".