1051000100400 has 120 divisors (see below), whose sum is σ = 3444999257920. Its totient is φ = 273748849920.

The previous prime is 1051000100341. The next prime is 1051000100411. The reversal of 1051000100400 is 40010001501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1051000100400² (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 10132510 + ... + 10235709.

Almost surely, 2^{1051000100400} is an apocalyptic number.

1051000100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051000100400 is an abundant number, since it is smaller than the sum of its proper divisors (2393999157520).

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

1051000100400 is a wasteful number, since it uses less digits than its factorization.

1051000100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368283 (or 20368272 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 1051000100400 its reverse (40010001501), we get a palindrome (1091010101901).

The spelling of 1051000100400 in words is "one trillion, fifty-one billion, one hundred thousand, four hundred".