1010210120000 has 140 divisors (see below), whose sum is σ = 2508510644640. Its totient is φ = 403516608000.

The previous prime is 1010210119993. The next prime is 1010210120011. The reversal of 1010210120000 is 210120101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010210120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29062631 + ... + 29097369.

It is an arithmetic number, because the mean of its divisors is an integer number (17917933176).

Almost surely, 2^{1010210120000} is an apocalyptic number.

1010210120000 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 1010210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254255322320).

1010210120000 is an abundant number, since it is smaller than the sum of its proper divisors (1498300524640).

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

1010210120000 is an frugal number, since it uses more digits than its factorization.

1010210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35498 (or 35473 counting only the distinct ones).

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

Adding to 1010210120000 its reverse (210120101), we get a palindrome (1010420240101).

It can be divided in two parts, 10102101 and 20000, that added together give a palindrome (10122101).

The spelling of 1010210120000 in words is "one trillion, ten billion, two hundred ten million, one hundred twenty thousand".