101001001111002 has 20 divisors (see below), whose sum is σ = 226317058045386. Its totient is φ = 33667000370280.

The previous prime is 101001001110983. The next prime is 101001001111013. The reversal of 101001001111002 is 200111100100101.

It can be written as a sum of positive squares in only one way, i.e., 92920904923401 + 8080096187601 = 9639549^2 + 2842551^2 .

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 9 ways as a sum of consecutive naturals, for example, 311731484749 + ... + 311731485072.

Almost surely, 2^{101001001111002} is an apocalyptic number.

101001001111002 is an abundant number, since it is smaller than the sum of its proper divisors (125316056934384).

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

101001001111002 is an equidigital number, since it uses as much as digits as its factorization.

101001001111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623462969835 (or 623462969826 counting only the distinct ones).

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

Adding to 101001001111002 its reverse (200111100100101), we get a palindrome (301112101211103).

The spelling of 101001001111002 in words is "one hundred one trillion, one billion, one million, one hundred eleven thousand, two".