1001102210121 has 64 divisors (see below), whose sum is σ = 1478078122752. Its totient is φ = 598810447872.

The previous prime is 1001102209999. The next prime is 1001102210131. The reversal of 1001102210121 is 1210122011001.

1001102210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001102210121 - 2¹⁷ = 1001102079049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001102210097 and 1001102210106.

It is not an unprimeable number, because it can be changed into a prime (1001102210131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418344901 + ... + 418347293.

It is an arithmetic number, because the mean of its divisors is an integer number (23094970668).

Almost surely, 2^{1001102210121} is an apocalyptic number.

It is an amenable number.

1001102210121 is a deficient number, since it is larger than the sum of its proper divisors (476975912631).

1001102210121 is a wasteful number, since it uses less digits than its factorization.

1001102210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562.

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

Adding to 1001102210121 its reverse (1210122011001), we get a palindrome (2211224221122).

The spelling of 1001102210121 in words is "one trillion, one billion, one hundred two million, two hundred ten thousand, one hundred twenty-one".