102101110101211 has 16 divisors (see below), whose sum is σ = 110686271906560. Its totient is φ = 93620444176800.

The previous prime is 102101110101161. The next prime is 102101110101257. The reversal of 102101110101211 is 112101011101201.

It is a cyclic number.

It is not a de Polignac number, because 102101110101211 - 2¹⁵ = 102101110068443 is a prime.

It is a super-2 number, since 2×102101110101211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101110101191 and 102101110101200.

It is not an unprimeable number, because it can be changed into a prime (102101110101811) 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, 72409720 + ... + 73806298.

It is an arithmetic number, because the mean of its divisors is an integer number (6917891994160).

Almost surely, 2^{102101110101211} is an apocalyptic number.

102101110101211 is a deficient number, since it is larger than the sum of its proper divisors (8585161805349).

102101110101211 is a wasteful number, since it uses less digits than its factorization.

102101110101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433986.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102101110101211 its reverse (112101011101201), we get a palindrome (214202121202412).

The spelling of 102101110101211 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred one thousand, two hundred eleven".