102100101101120 has 224 divisors, whose sum is σ = 255755088078336. Its totient is φ = 38778782515200.

The previous prime is 102100101101087. The next prime is 102100101101137. The reversal of 102100101101120 is 21101101001201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 158206937 + ... + 158850983.

It is an arithmetic number, because the mean of its divisors is an integer number (1141763786064).

Almost surely, 2^{102100101101120} is an apocalyptic number.

102100101101120 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 102100101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127877544039168).

102100101101120 is an abundant number, since it is smaller than the sum of its proper divisors (153654986977216).

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

102100101101120 is a wasteful number, since it uses less digits than its factorization.

102100101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644429 (or 644419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100101101120 its reverse (21101101001201), we get a palindrome (123201202102321).

The spelling of 102100101101120 in words is "one hundred two trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred twenty".