100020111011001 has 14 divisors (see below), whose sum is σ = 149961565618410. Its totient is φ = 66680074006848.

The previous prime is 100020111010979. The next prime is 100020111011027. The reversal of 100020111011001 is 100110111020001.

It can be written as a sum of positive squares in only one way, i.e., 99420143031225 + 599967979776 = 9970965^2 + 774576^2 .

It is not a de Polignac number, because 100020111011001 - 2⁵ = 100020111010969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100020111011071) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68600898456 + ... + 68600899913.

It is an arithmetic number, because the mean of its divisors is an integer number (10711540401315).

Almost surely, 2^{100020111011001} is an apocalyptic number.

It is an amenable number.

100020111011001 is a deficient number, since it is larger than the sum of its proper divisors (49941454607409).

100020111011001 is an frugal number, since it uses more digits than its factorization.

100020111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137201798387 (or 137201798372 counting only the distinct ones).

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

Adding to 100020111011001 its reverse (100110111020001), we get a palindrome (200130222031002).

The spelling of 100020111011001 in words is "one hundred trillion, twenty billion, one hundred eleven million, eleven thousand, one".