100102201012011 has 32 divisors (see below), whose sum is σ = 154622868929280. Its totient is φ = 56966320051200.

The previous prime is 100102201012001. The next prime is 100102201012067. The reversal of 100102201012011 is 110210102201001.

It is not a de Polignac number, because 100102201012011 - 2⁶ = 100102201011947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102201012001) 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, 706356730 + ... + 706498431.

It is an arithmetic number, because the mean of its divisors is an integer number (4831964654040).

Almost surely, 2^{100102201012011} is an apocalyptic number.

100102201012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102201012011 is a deficient number, since it is larger than the sum of its proper divisors (54520667917269).

100102201012011 is a wasteful number, since it uses less digits than its factorization.

100102201012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412855307.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102201012011 its reverse (110210102201001), we get a palindrome (210312303213012).

The spelling of 100102201012011 in words is "one hundred trillion, one hundred two billion, two hundred one million, twelve thousand, eleven".