102101011201120 has 48 divisors (see below), whose sum is σ = 255402676555488. Its totient is φ = 38438027745280.

The previous prime is 102101011201117. The next prime is 102101011201201. The reversal of 102101011201120 is 21102110101201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102101011201120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18768565516 + ... + 18768570955.

It is an arithmetic number, because the mean of its divisors is an integer number (5320889094906).

Almost surely, 2^{102101011201120} is an apocalyptic number.

102101011201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101011201120 is an abundant number, since it is smaller than the sum of its proper divisors (153301665354368).

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

102101011201120 is a wasteful number, since it uses less digits than its factorization.

102101011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37537136503 (or 37537136495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101011201120 its reverse (21102110101201), we get a palindrome (123203121302321).

The spelling of 102101011201120 in words is "one hundred two trillion, one hundred one billion, eleven million, two hundred one thousand, one hundred twenty".