102101201111100 has 144 divisors (see below), whose sum is σ = 311062492254080. Its totient is φ = 25785556588800.

The previous prime is 102101201111051. The next prime is 102101201111101. The reversal of 102101201111100 is 1111102101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101201111101) 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 47 ways as a sum of consecutive naturals, for example, 14521779 + ... + 20373621.

Almost surely, 2^{102101201111100} is an apocalyptic number.

102101201111100 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 102101201111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155531246127040).

102101201111100 is an abundant number, since it is smaller than the sum of its proper divisors (208961291142980).

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

102101201111100 is a wasteful number, since it uses less digits than its factorization.

102101201111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854940 (or 5854933 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102101201111100 its reverse (1111102101201), we get a palindrome (103212303212301).

The spelling of 102101201111100 in words is "one hundred two trillion, one hundred one billion, two hundred one million, one hundred eleven thousand, one hundred".