1002123212310 has 160 divisors (see below), whose sum is σ = 2944468273824. Its totient is φ = 242533440000.

The previous prime is 1002123212239. The next prime is 1002123212317. The reversal of 1002123212310 is 132123212001.

1002123212310 is a `hidden beast` number, since 10 + 0 + 21 + 2 + 321 + 2 + 310 = 666.

1002123212310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002123212310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002123212317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5261340 + ... + 5448480.

Almost surely, 2^{1002123212310} is an apocalyptic number.

1002123212310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002123212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472234136912).

1002123212310 is an abundant number, since it is smaller than the sum of its proper divisors (1942345061514).

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

1002123212310 is a wasteful number, since it uses less digits than its factorization.

1002123212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187772 (or 187763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002123212310 its reverse (132123212001), we get a palindrome (1134246424311).

The spelling of 1002123212310 in words is "one trillion, two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred ten".