1102201012121 has 16 divisors (see below), whose sum is σ = 1211497992000. Its totient is φ = 994431595200.

The previous prime is 1102201012097. The next prime is 1102201012147. The reversal of 1102201012121 is 1212101022011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102201012121 is a prime.

It is a super-2 number, since 2×1102201012121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102201012096 and 1102201012105.

It is not an unprimeable number, because it can be changed into a prime (1102201012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650950 + ... + 2220368.

It is an arithmetic number, because the mean of its divisors is an integer number (75718624500).

Almost surely, 2^{1102201012121} is an apocalyptic number.

1102201012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102201012121 is a deficient number, since it is larger than the sum of its proper divisors (109296979879).

1102201012121 is a wasteful number, since it uses less digits than its factorization.

1102201012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570760.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102201012121 its reverse (1212101022011), we get a palindrome (2314302034132).

The spelling of 1102201012121 in words is "one trillion, one hundred two billion, two hundred one million, twelve thousand, one hundred twenty-one".