1002112212101 has 64 divisors (see below), whose sum is σ = 1362361491456. Its totient is φ = 711796377600.

The previous prime is 1002112212083. The next prime is 1002112212131. The reversal of 1002112212101 is 1012122112001.

It is not a de Polignac number, because 1002112212101 - 2¹⁰ = 1002112211077 is a prime.

It is a super-2 number, since 2×1002112212101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112212131) 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 63 ways as a sum of consecutive naturals, for example, 44944766 + ... + 44967056.

It is an arithmetic number, because the mean of its divisors is an integer number (21286898304).

Almost surely, 2^{1002112212101} is an apocalyptic number.

1002112212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002112212101 is a deficient number, since it is larger than the sum of its proper divisors (360249279355).

1002112212101 is a wasteful number, since it uses less digits than its factorization.

1002112212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22882.

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

Adding to 1002112212101 its reverse (1012122112001), we get a palindrome (2014234324102).

The spelling of 1002112212101 in words is "one trillion, two billion, one hundred twelve million, two hundred twelve thousand, one hundred one".