2011010201000 has 32 divisors (see below), whose sum is σ = 4705763872680. Its totient is φ = 804404080000.

The previous prime is 2011010200993. The next prime is 2011010201003. The reversal of 2011010201000 is 1020101102.

It can be written as a sum of positive squares in 4 ways, for example, as 540257340484 + 1470752860516 = 735022^2 + 1212746^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2011010201003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005504101 + ... + 1005506100.

Almost surely, 2^{2011010201000} is an apocalyptic number.

2011010201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010201000 is an abundant number, since it is smaller than the sum of its proper divisors (2694753671680).

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

2011010201000 is a wasteful number, since it uses less digits than its factorization.

2011010201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011010222 (or 2011010208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011010201000 its reverse (1020101102), we get a palindrome (2012030302102).

The spelling of 2011010201000 in words is "two trillion, eleven billion, ten million, two hundred one thousand".