100100601100511 has 8 divisors (see below), whose sum is σ = 109203425068800. Its totient is φ = 90998238686040.

The previous prime is 100100601100469. The next prime is 100100601100537. The reversal of 100100601100511 is 115001106001001.

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 100100601100511 - 2⁶ = 100100601100447 is a prime.

It is a super-2 number, since 2×100100601100511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100601100511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100601105511) 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, 114934901 + ... + 115802558.

It is an arithmetic number, because the mean of its divisors is an integer number (13650428133600).

Almost surely, 2^{100100601100511} is an apocalyptic number.

100100601100511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100601100511 is a deficient number, since it is larger than the sum of its proper divisors (9102823968289).

100100601100511 is a wasteful number, since it uses less digits than its factorization.

100100601100511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230776909.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 100100601100511 its reverse (115001106001001), we get a palindrome (215101707101512).

The spelling of 100100601100511 in words is "one hundred trillion, one hundred billion, six hundred one million, one hundred thousand, five hundred eleven".