210011211012101 has 8 divisors (see below), whose sum is σ = 217597276416000. Its totient is φ = 202448098908720.

The previous prime is 210011211012041. The next prime is 210011211012121. The reversal of 210011211012101 is 101210112110012.

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 210011211012101 - 2³⁸ = 209736333105157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011211012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5738306501 + ... + 5738343098.

It is an arithmetic number, because the mean of its divisors is an integer number (27199659552000).

Almost surely, 2^{210011211012101} is an apocalyptic number.

It is an amenable number.

210011211012101 is a deficient number, since it is larger than the sum of its proper divisors (7586065403899).

210011211012101 is a wasteful number, since it uses less digits than its factorization.

210011211012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476650259.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210011211012101 its reverse (101210112110012), we get a palindrome (311221323122113).

It can be divided in two parts, 210011 and 211012101, that added together give a palindrome (211222112).

The spelling of 210011211012101 in words is "two hundred ten trillion, eleven billion, two hundred eleven million, twelve thousand, one hundred one".