102001111203120 has 160 divisors (see below), whose sum is σ = 320025743541504. Its totient is φ = 26871522278400.

The previous prime is 102001111203029. The next prime is 102001111203149. The reversal of 102001111203120 is 21302111100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001111203120.

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 31 ways as a sum of consecutive naturals, for example, 592354635 + ... + 592526805.

Almost surely, 2^{102001111203120} is an apocalyptic number.

102001111203120 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 102001111203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160012871770752).

102001111203120 is an abundant number, since it is smaller than the sum of its proper divisors (218024632338384).

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

102001111203120 is a wasteful number, since it uses less digits than its factorization.

102001111203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202011 (or 202005 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102001111203120 its reverse (21302111100201), we get a palindrome (123303222303321).

The spelling of 102001111203120 in words is "one hundred two trillion, one billion, one hundred eleven million, two hundred three thousand, one hundred twenty".