10148290104000 has 224 divisors, whose sum is σ = 33529511808000. Its totient is φ = 2704607001600.

The previous prime is 10148290103981. The next prime is 10148290104023. The reversal of 10148290104000 is 40109284101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40651561 + ... + 40900439.

Almost surely, 2^{10148290104000} is an apocalyptic number.

10148290104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148290104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764755904000).

10148290104000 is an abundant number, since it is smaller than the sum of its proper divisors (23381221704000).

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

10148290104000 is a wasteful number, since it uses less digits than its factorization.

10148290104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250608 (or 250588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 10148290104000 its reverse (40109284101), we get a palindrome (10188399388101).

The spelling of 10148290104000 in words is "ten trillion, one hundred forty-eight billion, two hundred ninety million, one hundred four thousand".