10101110002002 has 24 divisors (see below), whose sum is σ = 21885861969036. Its totient is φ = 3367017647136.

The previous prime is 10101110001979. The next prime is 10101110002003. The reversal of 10101110002002 is 20020001110101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9450330591321 + 650779410681 = 3074139^2 + 806709^2 .

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 (10101110002003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896628 + ... + 4878464.

Almost surely, 2^{10101110002002} is an apocalyptic number.

10101110002002 is an abundant number, since it is smaller than the sum of its proper divisors (11784751967034).

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

10101110002002 is a wasteful number, since it uses less digits than its factorization.

10101110002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170042 (or 3170039 counting only the distinct ones).

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

Adding to 10101110002002 its reverse (20020001110101), we get a palindrome (30121111112103).

The spelling of 10101110002002 in words is "ten trillion, one hundred one billion, one hundred ten million, two thousand, two".