1020130010400 has 72 divisors (see below), whose sum is σ = 3320523191664. Its totient is φ = 272034668800.

The previous prime is 1020130010371. The next prime is 1020130010513. The reversal of 1020130010400 is 40100310201.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 212524686 + ... + 212529485.

It is an arithmetic number, because the mean of its divisors is an integer number (46118377662).

Almost surely, 2^{1020130010400} is an apocalyptic number.

1020130010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020130010400 is an abundant number, since it is smaller than the sum of its proper divisors (2300393181264).

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

1020130010400 is a wasteful number, since it uses less digits than its factorization.

1020130010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425054194 (or 425054181 counting only the distinct ones).

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

Adding to 1020130010400 its reverse (40100310201), we get a palindrome (1060230320601).

The spelling of 1020130010400 in words is "one trillion, twenty billion, one hundred thirty million, ten thousand, four hundred".