1002210122112 has 128 divisors (see below), whose sum is σ = 2759199552000. Its totient is φ = 321931782144.

The previous prime is 1002210122099. The next prime is 1002210122117. The reversal of 1002210122112 is 2112210122001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1002210122091 and 1002210122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002210122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5738089 + ... + 5910167.

It is an arithmetic number, because the mean of its divisors is an integer number (21556246500).

Almost surely, 2^{1002210122112} is an apocalyptic number.

1002210122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379599776000).

1002210122112 is an abundant number, since it is smaller than the sum of its proper divisors (1756989429888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002210122112 is a wasteful number, since it uses less digits than its factorization.

1002210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172648 (or 172636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002210122112 its reverse (2112210122001), we get a palindrome (3114420244113).

The spelling of 1002210122112 in words is "one trillion, two billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".