10100201111011 has 8 divisors (see below), whose sum is σ = 11042511504624. Its totient is φ = 9161909099520.

The previous prime is 10100201111009. The next prime is 10100201111041. The reversal of 10100201111011 is 11011110200101.

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 10100201111011 - 2¹ = 10100201111009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100201111041) 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, 1004590270 + ... + 1004600323.

It is an arithmetic number, because the mean of its divisors is an integer number (1380313938078).

Almost surely, 2^{10100201111011} is an apocalyptic number.

10100201111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100201111011 is a deficient number, since it is larger than the sum of its proper divisors (942310393613).

10100201111011 is a wasteful number, since it uses less digits than its factorization.

10100201111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009191061.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100201111011 its reverse (11011110200101), we get a palindrome (21111311311112).

The spelling of 10100201111011 in words is "ten trillion, one hundred billion, two hundred one million, one hundred eleven thousand, eleven".