10011101002002 has 24 divisors (see below), whose sum is σ = 21748870913484. Its totient is φ = 3328087194144.

The previous prime is 10011101001983. The next prime is 10011101002033. The reversal of 10011101002002 is 20020010111001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9963044032041 + 48056969961 = 3156429^2 + 219219^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745532533 + ... + 745545960.

Almost surely, 2^{10011101002002} is an apocalyptic number.

10011101002002 is an abundant number, since it is smaller than the sum of its proper divisors (11737769911482).

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

10011101002002 is a wasteful number, since it uses less digits than its factorization.

10011101002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491078874 (or 1491078871 counting only the distinct ones).

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

Adding to 10011101002002 its reverse (20020010111001), we get a palindrome (30031111113003).

The spelling of 10011101002002 in words is "ten trillion, eleven billion, one hundred one million, two thousand, two".