1010101120000 has 440 divisors, whose sum is σ = 3009354898176. Its totient is φ = 331229184000.

The previous prime is 1010101119983. The next prime is 1010101120009. The reversal of 1010101120000 is 211010101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1010101120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103035099 + ... + 103044901.

Almost surely, 2^{1010101120000} is an apocalyptic number.

1010101120000 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 1010101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504677449088).

1010101120000 is an abundant number, since it is smaller than the sum of its proper divisors (1999253778176).

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

1010101120000 is an frugal number, since it uses more digits than its factorization.

1010101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010101120000 its reverse (211010101), we get a palindrome (1010312130101).

The spelling of 1010101120000 in words is "one trillion, ten billion, one hundred one million, one hundred twenty thousand".