2011010212000 has 48 divisors (see below), whose sum is σ = 4941052100712. Its totient is φ = 804404083200.

The previous prime is 2011010211979. The next prime is 2011010212063. The reversal of 2011010212000 is 2120101102.

It can be written as a sum of positive squares in 4 ways, for example, as 1119050853904 + 891959358096 = 1057852^2 + 944436^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251372277 + ... + 251380276.

Almost surely, 2^{2011010212000} is an apocalyptic number.

2011010212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010212000 is an abundant number, since it is smaller than the sum of its proper divisors (2930041888712).

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

2011010212000 is an equidigital number, since it uses as much as digits as its factorization.

2011010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502752578 (or 502752560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011010212000 its reverse (2120101102), we get a palindrome (2013130313102).

It can be divided in two parts, 20110102 and 12000, that added together give a palindrome (20122102).

The spelling of 2011010212000 in words is "two trillion, eleven billion, ten million, two hundred twelve thousand".