102010112211 has 48 divisors (see below), whose sum is σ = 162073278464. Its totient is φ = 55848960000.

The previous prime is 102010112209. The next prime is 102010112249. The reversal of 102010112211 is 112211010201.

It is not a de Polignac number, because 102010112211 - 2¹ = 102010112209 is a prime.

It is a super-2 number, since 2×102010112211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

102010112211 is a modest number, since divided by 112211 gives 102010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (102010112261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6633171 + ... + 6648531.

Almost surely, 2^102010112211 is an apocalyptic number.

102010112211 is a deficient number, since it is larger than the sum of its proper divisors (60063166253).

102010112211 is a wasteful number, since it uses less digits than its factorization.

102010112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15503 counting only the distinct ones).

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

Adding to 102010112211 its reverse (112211010201), we get a palindrome (214221122412).

The spelling of 102010112211 in words is "one hundred two billion, ten million, one hundred twelve thousand, two hundred eleven".