100101001120011 has 24 divisors (see below), whose sum is σ = 148659769001120. Its totient is φ = 64859725610496.

The previous prime is 100101001120009. The next prime is 100101001120157. The reversal of 100101001120011 is 110021100101001.

It is not a de Polignac number, because 100101001120011 - 2¹ = 100101001120009 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 = 100101001119975 and 100101001120002.

It is not an unprimeable number, because it can be changed into a prime (100101001120511) 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, 163243270 + ... + 163855323.

Almost surely, 2^{100101001120011} is an apocalyptic number.

100101001120011 is a deficient number, since it is larger than the sum of its proper divisors (48558767881109).

100101001120011 is a wasteful number, since it uses less digits than its factorization.

100101001120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327099555 (or 327099552 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101001120011 its reverse (110021100101001), we get a palindrome (210122101221012).

The spelling of 100101001120011 in words is "one hundred trillion, one hundred one billion, one million, one hundred twenty thousand, eleven".