10101100212011 has 8 divisors (see below), whose sum is σ = 10103011813440. Its totient is φ = 10099188780232.

The previous prime is 10101100211963. The next prime is 10101100212029. The reversal of 10101100212011 is 11021200110101.

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 10101100212011 - 2¹⁸ = 10101099949867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101100211983 and 10101100212001.

It is not an unprimeable number, because it can be changed into a prime (10101100212311) 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, 195963680 + ... + 196015218.

It is an arithmetic number, because the mean of its divisors is an integer number (1262876476680).

Almost surely, 2^{10101100212011} is an apocalyptic number.

10101100212011 is a deficient number, since it is larger than the sum of its proper divisors (1911601429).

10101100212011 is an equidigital number, since it uses as much as digits as its factorization.

10101100212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84825.

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

Adding to 10101100212011 its reverse (11021200110101), we get a palindrome (21122300322112).

The spelling of 10101100212011 in words is "ten trillion, one hundred one billion, one hundred million, two hundred twelve thousand, eleven".