10010141400 has 144 divisors (see below), whose sum is σ = 36097901640. Its totient is φ = 2288025600.

The previous prime is 10010141387. The next prime is 10010141447. The reversal of 10010141400 is 414101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140841 + ... + 199640.

Almost surely, 2^10010141400 is an apocalyptic number.

10010141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010141400 is an abundant number, since it is smaller than the sum of its proper divisors (26087760240).

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

10010141400 is a wasteful number, since it uses less digits than its factorization.

10010141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340514 (or 340498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010141400 its reverse (414101001), we get a palindrome (10424242401).

The spelling of 10010141400 in words is "ten billion, ten million, one hundred forty-one thousand, four hundred".