101050404000 has 1536 divisors, whose sum is σ = 435680114688. Its totient is φ = 19906560000.

The previous prime is 101050403999. The next prime is 101050404029. The reversal of 101050404000 is 404050101.

It is a super-2 number, since 2×101050404000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1656563970 + ... + 1656564030.

It is an arithmetic number, because the mean of its divisors is an integer number (283645908).

Almost surely, 2^101050404000 is an apocalyptic number.

101050404000 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 101050404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840057344).

101050404000 is an abundant number, since it is smaller than the sum of its proper divisors (334629710688).

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

101050404000 is a wasteful number, since it uses less digits than its factorization.

101050404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 101050404000 its reverse (404050101), we get a palindrome (101454454101).

The spelling of 101050404000 in words is "one hundred one billion, fifty million, four hundred four thousand".