10103210040000 has 1680 divisors, whose sum is σ = 42673275380736. Its totient is φ = 2085350400000.

The previous prime is 10103210039999. The next prime is 10103210040059. The reversal of 10103210040000 is 4001230101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10103210040000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11707079569 + ... + 11707080431.

Almost surely, 2^{10103210040000} is an apocalyptic number.

10103210040000 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 10103210040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336637690368).

10103210040000 is an abundant number, since it is smaller than the sum of its proper divisors (32570065340736).

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

10103210040000 is a wasteful number, since it uses less digits than its factorization.

10103210040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10103210040000 its reverse (4001230101), we get a palindrome (10107211270101).

The spelling of 10103210040000 in words is "ten trillion, one hundred three billion, two hundred ten million, forty thousand".