1021001131400 has 48 divisors (see below), whose sum is σ = 2374287516900. Its totient is φ = 408321332480.

The previous prime is 1021001131399. The next prime is 1021001131417. The reversal of 1021001131400 is 41311001201.

1021001131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 654678410884 + 366322720516 = 809122^2 + 605246^2 .

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, 545894 + ... + 1529706.

Almost surely, 2^{1021001131400} is an apocalyptic number.

1021001131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021001131400 is an abundant number, since it is smaller than the sum of its proper divisors (1353286385500).

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

1021001131400 is a wasteful number, since it uses less digits than its factorization.

1021001131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989018 (or 989009 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1021001131400 its reverse (41311001201), we get a palindrome (1062312132601).

The spelling of 1021001131400 in words is "one trillion, twenty-one billion, one million, one hundred thirty-one thousand, four hundred".