102102022001100 has 576 divisors, whose sum is σ = 328006398246912. Its totient is φ = 24316551168000.

The previous prime is 102102022001051. The next prime is 102102022001167. The reversal of 102102022001100 is 1100220201201.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 18553880949 + ... + 18553886451.

It is an arithmetic number, because the mean of its divisors is an integer number (569455552512).

Almost surely, 2^{102102022001100} is an apocalyptic number.

102102022001100 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 102102022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164003199123456).

102102022001100 is an abundant number, since it is smaller than the sum of its proper divisors (225904376245812).

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

102102022001100 is a wasteful number, since it uses less digits than its factorization.

102102022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6079 counting only the distinct ones).

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

Adding to 102102022001100 its reverse (1100220201201), we get a palindrome (103202242202301).

The spelling of 102102022001100 in words is "one hundred two trillion, one hundred two billion, twenty-two million, one thousand, one hundred".