2111010100002 has 36 divisors (see below), whose sum is σ = 4858732024146. Its totient is φ = 662277676800.

The previous prime is 2111010099973. The next prime is 2111010100007. The reversal of 2111010100002 is 2000010101112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2072934773361 + 38075326641 = 1439769^2 + 195129^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2111010100007) 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 17 ways as a sum of consecutive naturals, for example, 202898499 + ... + 202908902.

Almost surely, 2^{2111010100002} is an apocalyptic number.

2111010100002 is an abundant number, since it is smaller than the sum of its proper divisors (2747721924144).

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

2111010100002 is a wasteful number, since it uses less digits than its factorization.

2111010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405807443 (or 405807423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2111010100002 its reverse (2000010101112), we get a palindrome (4111020201114).

The spelling of 2111010100002 in words is "two trillion, one hundred eleven billion, ten million, one hundred thousand, two".