102101211122 has 16 divisors (see below), whose sum is σ = 162297135000. Its totient is φ = 48088037760.

The previous prime is 102101211097. The next prime is 102101211127. The reversal of 102101211122 is 221112101201.

It can be written as a sum of positive squares in 4 ways, for example, as 89910622201 + 12190588921 = 299851^2 + 110411^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101211097 and 102101211106.

It is not an unprimeable number, because it can be changed into a prime (102101211127) 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 7 ways as a sum of consecutive naturals, for example, 21465497 + ... + 21470252.

Almost surely, 2^102101211122 is an apocalyptic number.

102101211122 is a deficient number, since it is larger than the sum of its proper divisors (60195923878).

102101211122 is a wasteful number, since it uses less digits than its factorization.

102101211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42935821.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101211122 its reverse (221112101201), we get a palindrome (323213312323).

The spelling of 102101211122 in words is "one hundred two billion, one hundred one million, two hundred eleven thousand, one hundred twenty-two".