10010111001001 has 8 divisors (see below), whose sum is σ = 10014414480000. Its totient is φ = 10005807802320.

The previous prime is 10010111000983. The next prime is 10010111001019. The reversal of 10010111001001 is 10010011101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010111000983) and next prime (10010111001019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010111001001 - 2¹⁷ = 10010110869929 is a prime.

It is a super-2 number, since 2×10010111001001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010111005001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103416375 + ... + 103513123.

It is an arithmetic number, because the mean of its divisors is an integer number (1251801810000).

Almost surely, 2^{10010111001001} is an apocalyptic number.

It is an amenable number.

10010111001001 is a deficient number, since it is larger than the sum of its proper divisors (4303478999).

10010111001001 is an equidigital number, since it uses as much as digits as its factorization.

10010111001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140159.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010111001001 its reverse (10010011101001), we get a palindrome (20020122102002).

The spelling of 10010111001001 in words is "ten trillion, ten billion, one hundred eleven million, one thousand, one".