10002121012000 has 288 divisors, whose sum is σ = 26787532996224. Its totient is φ = 3668595840000.

The previous prime is 10002121011913. The next prime is 10002121012033. The reversal of 10002121012000 is 21012120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102027007 + ... + 102124993.

It is an arithmetic number, because the mean of its divisors is an integer number (93012267348).

Almost surely, 2^{10002121012000} is an apocalyptic number.

10002121012000 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 10002121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393766498112).

10002121012000 is an abundant number, since it is smaller than the sum of its proper divisors (16785411984224).

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

10002121012000 is a wasteful number, since it uses less digits than its factorization.

10002121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98189 (or 98158 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002121012000 its reverse (21012120001), we get a palindrome (10023133132001).

The spelling of 10002121012000 in words is "ten trillion, two billion, one hundred twenty-one million, twelve thousand".