10203012000000 has 1134 divisors, whose sum is σ = 38196501586334. Its totient is φ = 2619187200000.

The previous prime is 10203011999953. The next prime is 10203012000017. The reversal of 10203012000000 is 21030201.

It is a happy number.

It can be written as a sum of positive squares in 21 ways, for example, as 3806806818816 + 6396205181184 = 1951104^2 + 2529072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 30275999832 + ... + 30276000168.

Almost surely, 2^{10203012000000} is an apocalyptic number.

10203012000000 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 10203012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098250793167).

10203012000000 is an abundant number, since it is smaller than the sum of its proper divisors (27993489586334).

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

10203012000000 is an frugal number, since it uses more digits than its factorization.

10203012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10203012000000 its reverse (21030201), we get a palindrome (10203033030201).

The spelling of 10203012000000 in words is "ten trillion, two hundred three billion, twelve million", and thus it is an aban number.