1020312210000 has 200 divisors, whose sum is σ = 3296515527360. Its totient is φ = 271851008000.

The previous prime is 1020312209977. The next prime is 1020312210011. The reversal of 1020312210000 is 122130201.

1020312210000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36676096 + ... + 36703904.

Almost surely, 2^{1020312210000} is an apocalyptic number.

1020312210000 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 1020312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648257763680).

1020312210000 is an abundant number, since it is smaller than the sum of its proper divisors (2276203317360).

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

1020312210000 is a wasteful number, since it uses less digits than its factorization.

1020312210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29063 (or 29042 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020312210000 its reverse (122130201), we get a palindrome (1020434340201).

The spelling of 1020312210000 in words is "one trillion, twenty billion, three hundred twelve million, two hundred ten thousand".