100010211201011 has 8 divisors (see below), whose sum is σ = 105275668244880. Its totient is φ = 94744930328928.

The previous prime is 100010211200989. The next prime is 100010211201023. The reversal of 100010211201011 is 110102112010001.

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 100010211201011 - 2³⁴ = 99993031331827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010211200983 and 100010211201001.

It is not an unprimeable number, because it can be changed into a prime (100010211201091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42876896 + ... + 45149181.

It is an arithmetic number, because the mean of its divisors is an integer number (13159458530610).

Almost surely, 2^{100010211201011} is an apocalyptic number.

100010211201011 is a deficient number, since it is larger than the sum of its proper divisors (5265457043869).

100010211201011 is an equidigital number, since it uses as much as digits as its factorization.

100010211201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88085893.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100010211201011 its reverse (110102112010001), we get a palindrome (210112323211012).

The spelling of 100010211201011 in words is "one hundred trillion, ten billion, two hundred eleven million, two hundred one thousand, eleven".