2010212331000 has 512 divisors, whose sum is σ = 6796447257600. Its totient is φ = 492948633600.

The previous prime is 2010212330993. The next prime is 2010212331031. The reversal of 2010212331000 is 1332120102.

It is a super-2 number, since 2×2010212331000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1187366154 + ... + 1187367846.

It is an arithmetic number, because the mean of its divisors is an integer number (13274311050).

Almost surely, 2^{2010212331000} is an apocalyptic number.

2010212331000 is a gapful number since it is divisible by the number (20) 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 2010212331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398223628800).

2010212331000 is an abundant number, since it is smaller than the sum of its proper divisors (4786234926600).

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

2010212331000 is a wasteful number, since it uses less digits than its factorization.

2010212331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2010212331000 its reverse (1332120102), we get a palindrome (2011544451102).

The spelling of 2010212331000 in words is "two trillion, ten billion, two hundred twelve million, three hundred thirty-one thousand".