101102212120 has 128 divisors (see below), whose sum is σ = 280126707840. Its totient is φ = 31979888640.

The previous prime is 101102212117. The next prime is 101102212153. The reversal of 101102212120 is 21212201101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101102212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7859614 + ... + 7872466.

It is an arithmetic number, because the mean of its divisors is an integer number (2188489905).

Almost surely, 2^101102212120 is an apocalyptic number.

101102212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140063353920).

101102212120 is an abundant number, since it is smaller than the sum of its proper divisors (179024495720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102212120 is a wasteful number, since it uses less digits than its factorization.

101102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102212120 its reverse (21212201101), we get a palindrome (122314413221).

The spelling of 101102212120 in words is "one hundred one billion, one hundred two million, two hundred twelve thousand, one hundred twenty".