2002000101090 has 64 divisors (see below), whose sum is σ = 5241848878080. Its totient is φ = 485310338240.

The previous prime is 2002000101083. The next prime is 2002000101091. The reversal of 2002000101090 is 901010002002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2002000101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426891 + ... + 7691729.

It is an arithmetic number, because the mean of its divisors is an integer number (81903888720).

Almost surely, 2^{2002000101090} is an apocalyptic number.

2002000101090 is an abundant number, since it is smaller than the sum of its proper divisors (3239848776990).

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

2002000101090 is a wasteful number, since it uses less digits than its factorization.

2002000101090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287767.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2002000101090 its reverse (901010002002), we get a palindrome (2903010103092).

The spelling of 2002000101090 in words is "two trillion, two billion, one hundred one thousand, ninety".