101102102200 has 192 divisors, whose sum is σ = 261039542400. Its totient is φ = 36107174400.

The previous prime is 101102102173. The next prime is 101102102201. The reversal of 101102102200 is 2201201101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61759782 + ... + 61761418.

It is an arithmetic number, because the mean of its divisors is an integer number (1359580950).

Almost surely, 2^101102102200 is an apocalyptic number.

101102102200 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 101102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130519771200).

101102102200 is an abundant number, since it is smaller than the sum of its proper divisors (159937440200).

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

101102102200 is a wasteful number, since it uses less digits than its factorization.

101102102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102102200 its reverse (2201201101), we get a palindrome (103303303301).

It can be divided in two parts, 101102 and 102200, that added together give a palindrome (203302).

The spelling of 101102102200 in words is "one hundred one billion, one hundred two million, one hundred two thousand, two hundred".