1001210111121 has 32 divisors (see below), whose sum is σ = 1498938853248. Its totient is φ = 589101949440.

The previous prime is 1001210111117. The next prime is 1001210111141. The reversal of 1001210111121 is 1211110121001.

It is not a de Polignac number, because 1001210111121 - 2² = 1001210111117 is a prime.

It is a super-2 number, since 2×1001210111121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001210111097 and 1001210111106.

It is not an unprimeable number, because it can be changed into a prime (1001210111101) 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 31 ways as a sum of consecutive naturals, for example, 339150 + ... + 1455143.

It is an arithmetic number, because the mean of its divisors is an integer number (46841839164).

Almost surely, 2^{1001210111121} is an apocalyptic number.

1001210111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001210111121 is a deficient number, since it is larger than the sum of its proper divisors (497728742127).

1001210111121 is a wasteful number, since it uses less digits than its factorization.

1001210111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794801.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001210111121 its reverse (1211110121001), we get a palindrome (2212320232122).

The spelling of 1001210111121 in words is "one trillion, one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-one".