102100020221100 has 288 divisors, whose sum is σ = 323147816716032. Its totient is φ = 24683788800000.

The previous prime is 102100020221077. The next prime is 102100020221267. The reversal of 102100020221100 is 1122020001201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1878157920 + ... + 1878212280.

It is an arithmetic number, because the mean of its divisors is an integer number (1122041030264).

Almost surely, 2^{102100020221100} is an apocalyptic number.

102100020221100 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 102100020221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161573908358016).

102100020221100 is an abundant number, since it is smaller than the sum of its proper divisors (221047796494932).

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

102100020221100 is a wasteful number, since it uses less digits than its factorization.

102100020221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55937 (or 55930 counting only the distinct ones).

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

Adding to 102100020221100 its reverse (1122020001201), we get a palindrome (103222040222301).

The spelling of 102100020221100 in words is "one hundred two trillion, one hundred billion, twenty million, two hundred twenty-one thousand, one hundred".