1010121112000 has 1344 divisors, whose sum is σ = 3497278906368. Its totient is φ = 280350720000.

The previous prime is 1010121111977. The next prime is 1010121112009. The reversal of 1010121112000 is 2111210101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3227223844 + ... + 3227224156.

Almost surely, 2^{1010121112000} is an apocalyptic number.

1010121112000 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 1010121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748639453184).

1010121112000 is an abundant number, since it is smaller than the sum of its proper divisors (2487157794368).

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

1010121112000 is a wasteful number, since it uses less digits than its factorization.

1010121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010121112000 its reverse (2111210101), we get a palindrome (1012232322101).

The spelling of 1010121112000 in words is "one trillion, ten billion, one hundred twenty-one million, one hundred twelve thousand".