101203103001000 has 3456 divisors, whose sum is σ = 442228850743680. Its totient is φ = 19188449280000.

The previous prime is 101203103000953. The next prime is 101203103001019. The reversal of 101203103001000 is 100301302101.

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 (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 393786392872 + ... + 393786393128.

It is an arithmetic number, because the mean of its divisors is an integer number (127959736905).

Almost surely, 2^{101203103001000} is an apocalyptic number.

101203103001000 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 101203103001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221114425371840).

101203103001000 is an abundant number, since it is smaller than the sum of its proper divisors (341025747742680).

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

101203103001000 is a wasteful number, since it uses less digits than its factorization.

101203103001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101203103001000 its reverse (100301302101), we get a palindrome (101303404303101).

The spelling of 101203103001000 in words is "one hundred one trillion, two hundred three billion, one hundred three million, one thousand".