1020103312400 has 60 divisors (see below), whose sum is σ = 2594962825812. Its totient is φ = 384038891520.

The previous prime is 1020103312369. The next prime is 1020103312433. The reversal of 1020103312400 is 42133010201.

It can be written as a sum of positive squares in 6 ways, for example, as 23308739584 + 996794572816 = 152672^2 + 998396^2 .

It is a super-2 number, since 2×1020103312400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75000797 + ... + 75014396.

Almost surely, 2^{1020103312400} is an apocalyptic number.

1020103312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020103312400 is an abundant number, since it is smaller than the sum of its proper divisors (1574859513412).

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

1020103312400 is a wasteful number, since it uses less digits than its factorization.

1020103312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150015228 (or 150015217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020103312400 its reverse (42133010201), we get a palindrome (1062236322601).

The spelling of 1020103312400 in words is "one trillion, twenty billion, one hundred three million, three hundred twelve thousand, four hundred".