1010012310000 has 300 divisors, whose sum is σ = 3627634654072. Its totient is φ = 262056384000.

The previous prime is 1010012309993. The next prime is 1010012310001. The reversal of 1010012310000 is 132100101.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1010012310000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010012310001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3178347 + ... + 3481653.

Almost surely, 2^{1010012310000} is an apocalyptic number.

1010012310000 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 1010012310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813817327036).

1010012310000 is an abundant number, since it is smaller than the sum of its proper divisors (2617622344072).

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

1010012310000 is a wasteful number, since it uses less digits than its factorization.

1010012310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303378 (or 303354 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1010012310000 its reverse (132100101), we get a palindrome (1010144410101).

It can be divided in two parts, 10100 and 12310000, that added together give a square (12320100 = 3510²).

The spelling of 1010012310000 in words is "one trillion, ten billion, twelve million, three hundred ten thousand".