211010100202001 has 16 divisors (see below), whose sum is σ = 218071624247808. Its totient is φ = 203964633100800.

The previous prime is 211010100201983. The next prime is 211010100202037. The reversal of 211010100202001 is 100202001010112.

It is a cyclic number.

It is not a de Polignac number, because 211010100202001 - 2¹⁴ = 211010100185617 is a prime.

It is a super-2 number, since 2×211010100202001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211010100208001) 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, 92608910 + ... + 94860056.

It is an arithmetic number, because the mean of its divisors is an integer number (13629476515488).

Almost surely, 2^{211010100202001} is an apocalyptic number.

It is an amenable number.

211010100202001 is a deficient number, since it is larger than the sum of its proper divisors (7061524045807).

211010100202001 is a wasteful number, since it uses less digits than its factorization.

211010100202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254712.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211010100202001 its reverse (100202001010112), we get a palindrome (311212101212113).

The spelling of 211010100202001 in words is "two hundred eleven trillion, ten billion, one hundred million, two hundred two thousand, one".