1002121211000 has 256 divisors, whose sum is σ = 2929203164160. Its totient is φ = 312419289600.

The previous prime is 1002121210997. The next prime is 1002121211017. The reversal of 1002121211000 is 1121212001.

It is a super-2 number, since 2×1002121211000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6014819 + ... + 6179181.

It is an arithmetic number, because the mean of its divisors is an integer number (11442199860).

Almost surely, 2^{1002121211000} is an apocalyptic number.

1002121211000 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 1002121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464601582080).

1002121211000 is an abundant number, since it is smaller than the sum of its proper divisors (1927081953160).

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

1002121211000 is a wasteful number, since it uses less digits than its factorization.

1002121211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164471 (or 164457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002121211000 its reverse (1121212001), we get a palindrome (1003242423001).

It can be divided in two parts, 1002121 and 211000, that added together give a palindrome (1213121).

The spelling of 1002121211000 in words is "one trillion, two billion, one hundred twenty-one million, two hundred eleven thousand".