100102100001011 has 64 divisors (see below), whose sum is σ = 110533930214400. Its totient is φ = 90418052659200.

The previous prime is 100102100000999. The next prime is 100102100001037. The reversal of 100102100001011 is 110100001201001.

It is a happy number.

It is not a de Polignac number, because 100102100001011 - 2²² = 100102095806707 is a prime.

It is a super-2 number, since 2×100102100001011² (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 100102100001011.

It is not an unprimeable number, because it can be changed into a prime (100102100001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295529370 + ... + 2295572976.

It is an arithmetic number, because the mean of its divisors is an integer number (1727092659600).

Almost surely, 2^{100102100001011} is an apocalyptic number.

100102100001011 is a deficient number, since it is larger than the sum of its proper divisors (10431830213389).

100102100001011 is a wasteful number, since it uses less digits than its factorization.

100102100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44540.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100102100001011 its reverse (110100001201001), we get a palindrome (210202101202012).

The spelling of 100102100001011 in words is "one hundred trillion, one hundred two billion, one hundred million, one thousand, eleven".