1002121220112 has 80 divisors (see below), whose sum is σ = 2627924843712. Its totient is φ = 328995532800.

The previous prime is 1002121220059. The next prime is 1002121220119. The reversal of 1002121220112 is 2110221212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002121220091 and 1002121220100.

It is not an unprimeable number, because it can be changed into a prime (1002121220119) 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, 20097612 + ... + 20147412.

Almost surely, 2^{1002121220112} is an apocalyptic number.

1002121220112 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 1002121220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313962421856).

1002121220112 is an abundant number, since it is smaller than the sum of its proper divisors (1625803623600).

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

1002121220112 is a wasteful number, since it uses less digits than its factorization.

1002121220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56136 (or 56130 counting only the distinct ones).

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

Adding to 1002121220112 its reverse (2110221212001), we get a palindrome (3112342432113).

The spelling of 1002121220112 in words is "one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".