101203110120 has 256 divisors, whose sum is σ = 365554944000. Its totient is φ = 21896027136.

The previous prime is 101203110013. The next prime is 101203110157. The reversal of 101203110120 is 21011302101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101203110096 and 101203110105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27656851 + ... + 27660509.

It is an arithmetic number, because the mean of its divisors is an integer number (1427949000).

Almost surely, 2^101203110120 is an apocalyptic number.

101203110120 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 101203110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182777472000).

101203110120 is an abundant number, since it is smaller than the sum of its proper divisors (264351833880).

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

101203110120 is a wasteful number, since it uses less digits than its factorization.

101203110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5428 counting only the distinct ones).

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

Adding to 101203110120 its reverse (21011302101), we get a palindrome (122214412221).

The spelling of 101203110120 in words is "one hundred one billion, two hundred three million, one hundred ten thousand, one hundred twenty".