1002120010000 has 200 divisors, whose sum is σ = 2452378287744. Its totient is φ = 396552000000.

The previous prime is 1002120009971. The next prime is 1002120010007. The reversal of 1002120010000 is 100212001.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1002120010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 394068729 + ... + 394071271.

Almost surely, 2^{1002120010000} is an apocalyptic number.

1002120010000 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 1002120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226189143872).

1002120010000 is an abundant number, since it is smaller than the sum of its proper divisors (1450258277744).

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

1002120010000 is a wasteful number, since it uses less digits than its factorization.

1002120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002120010000 its reverse (100212001), we get a palindrome (1002220222001).

1002120010000 divided by its reverse (100212001) gives a 4-th power (10000 = 10⁴).

The spelling of 1002120010000 in words is "one trillion, two billion, one hundred twenty million, ten thousand".