10100100010511 has 4 divisors (see below), whose sum is σ = 11542971440592. Its totient is φ = 8657228580432.

The previous prime is 10100100010487. The next prime is 10100100010547. The reversal of 10100100010511 is 11501000100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100100010511 - 2¹⁰ = 10100100009487 is a prime.

It is a super-3 number, since 3×10100100010511³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100010492 and 10100100010501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100010211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721435715030 + ... + 721435715043.

It is an arithmetic number, because the mean of its divisors is an integer number (2885742860148).

Almost surely, 2^{10100100010511} is an apocalyptic number.

10100100010511 is a deficient number, since it is larger than the sum of its proper divisors (1442871430081).

10100100010511 is an equidigital number, since it uses as much as digits as its factorization.

10100100010511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442871430080.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10100100010511 its reverse (11501000100101), we get a palindrome (21601100110612).

The spelling of 10100100010511 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, five hundred eleven".