100506050101000 has 128 divisors (see below), whose sum is σ = 237884746320000. Its totient is φ = 39743338656000.

The previous prime is 100506050100997. The next prime is 100506050101013. The reversal of 100506050101000 is 101050605001.

It is a super-2 number, since 2×100506050101000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29840571 + ... + 33037429.

It is an arithmetic number, because the mean of its divisors is an integer number (1858474580625).

Almost surely, 2^{100506050101000} is an apocalyptic number.

100506050101000 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 100506050101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942373160000).

100506050101000 is an abundant number, since it is smaller than the sum of its proper divisors (137378696219000).

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

100506050101000 is a wasteful number, since it uses less digits than its factorization.

100506050101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197240 (or 3197226 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 100506050101000 in words is "one hundred trillion, five hundred six billion, fifty million, one hundred one thousand".