100100122011 has 24 divisors (see below), whose sum is σ = 148937688224. Its totient is φ = 64737066240.

The previous prime is 100100122009. The next prime is 100100122021. The reversal of 100100122011 is 110221001001.

It is a happy number.

It is not a de Polignac number, because 100100122011 - 2¹ = 100100122009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100121984 and 100100122002.

It is not an unprimeable number, because it can be changed into a prime (100100122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333775 + ... + 558216.

Almost surely, 2^100100122011 is an apocalyptic number.

100100122011 is a deficient number, since it is larger than the sum of its proper divisors (48837566213).

100100122011 is a wasteful number, since it uses less digits than its factorization.

100100122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892371 (or 892368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100122011 its reverse (110221001001), we get a palindrome (210321123012).

It can be divided in two parts, 100100 and 122011, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 100100122011 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, eleven".