1021203120400 has 60 divisors (see below), whose sum is σ = 2453592145444. Its totient is φ = 408456000000.

The previous prime is 1021203120389. The next prime is 1021203120419. The reversal of 1021203120400 is 40213021201.

It can be written as a sum of positive squares in 6 ways, for example, as 49220084736 + 971983035664 = 221856^2 + 985892^2 .

It is a super-2 number, since 2×1021203120400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7250650 + ... + 7390150.

Almost surely, 2^{1021203120400} is an apocalyptic number.

1021203120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021203120400 is an abundant number, since it is smaller than the sum of its proper divisors (1432389025044).

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

1021203120400 is a wasteful number, since it uses less digits than its factorization.

1021203120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157820 (or 157809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1021203120400 its reverse (40213021201), we get a palindrome (1061416141601).

The spelling of 1021203120400 in words is "one trillion, twenty-one billion, two hundred three million, one hundred twenty thousand, four hundred".