1010212020000 has 480 divisors, whose sum is σ = 3687485376960. Its totient is φ = 268980480000.

The previous prime is 1010212019969. The next prime is 1010212020017. The reversal of 1010212020000 is 202120101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 557819095 + ... + 557820905.

It is an arithmetic number, because the mean of its divisors is an integer number (7682261202).

Almost surely, 2^{1010212020000} is an apocalyptic number.

1010212020000 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 1010212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843742688480).

1010212020000 is an abundant number, since it is smaller than the sum of its proper divisors (2677273356960).

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

1010212020000 is a wasteful number, since it uses less digits than its factorization.

1010212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010212020000 its reverse (202120101), we get a palindrome (1010414140101).

The spelling of 1010212020000 in words is "one trillion, ten billion, two hundred twelve million, twenty thousand".