1010121130200 has 384 divisors, whose sum is σ = 3855878208000. Its totient is φ = 213020651520.

The previous prime is 1010121130189. The next prime is 1010121130201. The reversal of 1010121130200 is 20311210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121130201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172696876 + ... + 172702724.

It is an arithmetic number, because the mean of its divisors is an integer number (10041349500).

Almost surely, 2^{1010121130200} is an apocalyptic number.

1010121130200 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 1010121130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927939104000).

1010121130200 is an abundant number, since it is smaller than the sum of its proper divisors (2845757077800).

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

1010121130200 is a wasteful number, since it uses less digits than its factorization.

1010121130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1010121130200 its reverse (20311210101), we get a palindrome (1030432340301).

The spelling of 1010121130200 in words is "one trillion, ten billion, one hundred twenty-one million, one hundred thirty thousand, two hundred".