1010121200000 has 384 divisors, whose sum is σ = 2772325997280. Its totient is φ = 363520000000.

The previous prime is 1010121199987. The next prime is 1010121200063. The reversal of 1010121200000 is 21210101.

1010121200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 444398864 + ... + 444401136.

Almost surely, 2^{1010121200000} is an apocalyptic number.

1010121200000 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 1010121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386162998640).

1010121200000 is an abundant number, since it is smaller than the sum of its proper divisors (1762204797280).

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

1010121200000 is an equidigital number, since it uses as much as digits as its factorization.

1010121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010121200000 its reverse (21210101), we get a palindrome (1010142410101).

It can be divided in two parts, 1010121 and 200000, that added together give a palindrome (1210121).

The spelling of 1010121200000 in words is "one trillion, ten billion, one hundred twenty-one million, two hundred thousand".