10011101011002 has 160 divisors (see below), whose sum is σ = 28172412576000. Its totient is φ = 2640290186016.

The previous prime is 10011101010931. The next prime is 10011101011057. The reversal of 10011101011002 is 20011010111001.

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 79 ways as a sum of consecutive naturals, for example, 6207102 + ... + 7651817.

It is an arithmetic number, because the mean of its divisors is an integer number (176077578600).

Almost surely, 2^{10011101011002} is an apocalyptic number.

10011101011002 is an abundant number, since it is smaller than the sum of its proper divisors (18161311564998).

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

10011101011002 is a wasteful number, since it uses less digits than its factorization.

10011101011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858967 (or 13858944 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011101011002 its reverse (20011010111001), we get a palindrome (30022111122003).

Subtracting 10011101011002 from its reverse (20011010111001), we obtain a palindrome (9999909099999).

The spelling of 10011101011002 in words is "ten trillion, eleven billion, one hundred one million, eleven thousand, two".