1011101011002 has 12 divisors (see below), whose sum is σ = 2190718857210. Its totient is φ = 337033670328.

The previous prime is 1011101010979. The next prime is 1011101011031. The reversal of 1011101011002 is 2001101011101.

It can be written as a sum of positive squares in only one way, i.e., 523392924681 + 487708086321 = 723459^2 + 698361^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28086139177 + ... + 28086139212.

Almost surely, 2^{1011101011002} is an apocalyptic number.

1011101011002 is an abundant number, since it is smaller than the sum of its proper divisors (1179617846208).

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

1011101011002 is a wasteful number, since it uses less digits than its factorization.

1011101011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172278397 (or 56172278394 counting only the distinct ones).

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

Adding to 1011101011002 its reverse (2001101011101), we get a palindrome (3012202022103).

Subtracting 1011101011002 from its reverse (2001101011101), we obtain a palindrome (990000000099).

The spelling of 1011101011002 in words is "one trillion, eleven billion, one hundred one million, eleven thousand, two".