10100541352011 has 32 divisors (see below), whose sum is σ = 15224632805376. Its totient is φ = 5901020160000.

The previous prime is 10100541352009. The next prime is 10100541352091. The reversal of 10100541352011 is 11025314500101.

It is not a de Polignac number, because 10100541352011 - 2¹ = 10100541352009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100541352091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18946140 + ... + 19471961.

It is an arithmetic number, because the mean of its divisors is an integer number (475769775168).

Almost surely, 2^{10100541352011} is an apocalyptic number.

10100541352011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100541352011 is a deficient number, since it is larger than the sum of its proper divisors (5124091453365).

10100541352011 is a wasteful number, since it uses less digits than its factorization.

10100541352011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38418403.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 10100541352011 its reverse (11025314500101), we get a palindrome (21125855852112).

The spelling of 10100541352011 in words is "ten trillion, one hundred billion, five hundred forty-one million, three hundred fifty-two thousand, eleven".