10100211212011 has 16 divisors (see below), whose sum is σ = 10137697320960. Its totient is φ = 10062816084000.

The previous prime is 10100211211943. The next prime is 10100211212017. The reversal of 10100211212011 is 11021211200101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100211212011 - 2¹⁵ = 10100211179243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211211982 and 10100211212000.

It is not an unprimeable number, because it can be changed into a prime (10100211212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627217386 + ... + 627233488.

It is an arithmetic number, because the mean of its divisors is an integer number (633606082560).

Almost surely, 2^{10100211212011} is an apocalyptic number.

10100211212011 is a deficient number, since it is larger than the sum of its proper divisors (37486108949).

10100211212011 is a wasteful number, since it uses less digits than its factorization.

10100211212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18786.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100211212011 its reverse (11021211200101), we get a palindrome (21121422412112).

The spelling of 10100211212011 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred twelve thousand, eleven".