1002122100000 has 864 divisors, whose sum is σ = 4128519507840. Its totient is φ = 225815040000.

The previous prime is 1002122099983. The next prime is 1002122100011. The reversal of 1002122100000 is 12212001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459898911 + ... + 459901089.

It is an arithmetic number, because the mean of its divisors is an integer number (4778379060).

Almost surely, 2^{1002122100000} is an apocalyptic number.

1002122100000 is a gapful number since it is divisible by the number (10) 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 1002122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064259753920).

1002122100000 is an abundant number, since it is smaller than the sum of its proper divisors (3126397407840).

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

1002122100000 is an equidigital number, since it uses as much as digits as its factorization.

1002122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002122100000 its reverse (12212001), we get a palindrome (1002134312001).

The spelling of 1002122100000 in words is "one trillion, two billion, one hundred twenty-two million, one hundred thousand".