102211120101 has 32 divisors (see below), whose sum is σ = 140569228800. Its totient is φ = 66029091840.

The previous prime is 102211120087. The next prime is 102211120129. The reversal of 102211120101 is 101021112201.

It is not a de Polignac number, because 102211120101 - 2¹⁷ = 102210989029 is a prime.

It is a super-3 number, since 3×102211120101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5835565 + ... + 5853053.

It is an arithmetic number, because the mean of its divisors is an integer number (4392788400).

Almost surely, 2^102211120101 is an apocalyptic number.

It is an amenable number.

102211120101 is a deficient number, since it is larger than the sum of its proper divisors (38358108699).

102211120101 is a wasteful number, since it uses less digits than its factorization.

102211120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211120101 its reverse (101021112201), we get a palindrome (203232232302).

The spelling of 102211120101 in words is "one hundred two billion, two hundred eleven million, one hundred twenty thousand, one hundred one".