10002121200000 has 1152 divisors, whose sum is σ = 37583893226880. Its totient is φ = 2550528000000.

The previous prime is 10002121199951. The next prime is 10002121200007. The reversal of 10002121200000 is 212120001.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121200007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8125199385 + ... + 8125200615.

It is an arithmetic number, because the mean of its divisors is an integer number (32624907315).

Almost surely, 2^{10002121200000} is an apocalyptic number.

10002121200000 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 10002121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18791946613440).

10002121200000 is an abundant number, since it is smaller than the sum of its proper divisors (27581772026880).

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

10002121200000 is an equidigital number, since it uses as much as digits as its factorization.

10002121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1339 counting only the distinct ones).

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

Adding to 10002121200000 its reverse (212120001), we get a palindrome (10002333320001).

The spelling of 10002121200000 in words is "ten trillion, two billion, one hundred twenty-one million, two hundred thousand".