102111200002020 has 384 divisors, whose sum is σ = 321479528251392. Its totient is φ = 24001899724800.

The previous prime is 102111200002001. The next prime is 102111200002037. The reversal of 102111200002020 is 20200002111201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102111200001987 and 102111200002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5676935467 + ... + 5676953453.

It is an arithmetic number, because the mean of its divisors is an integer number (837186271488).

Almost surely, 2^{102111200002020} is an apocalyptic number.

102111200002020 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 102111200002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160739764125696).

102111200002020 is an abundant number, since it is smaller than the sum of its proper divisors (219368328249372).

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

102111200002020 is a wasteful number, since it uses less digits than its factorization.

102111200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102111200002020 its reverse (20200002111201), we get a palindrome (122311202113221).

The spelling of 102111200002020 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, two thousand, twenty".