10100110221000 has 192 divisors, whose sum is σ = 35622650344320. Its totient is φ = 2576259945600.

The previous prime is 10100110220951. The next prime is 10100110221011. The reversal of 10100110221000 is 12201100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24189402 + ... + 24603401.

It is an arithmetic number, because the mean of its divisors is an integer number (185534637210).

Almost surely, 2^{10100110221000} is an apocalyptic number.

10100110221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110221000 is an abundant number, since it is smaller than the sum of its proper divisors (25522540123320).

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

10100110221000 is a wasteful number, since it uses less digits than its factorization.

10100110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48792853 (or 48792836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100110221000 its reverse (12201100101), we get a palindrome (10112311321101).

The spelling of 10100110221000 in words is "ten trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand".