10100212221000 has 128 divisors (see below), whose sum is σ = 34377449708160. Its totient is φ = 2448536288000.

The previous prime is 10100212220977. The next prime is 10100212221007. The reversal of 10100212221000 is 12221200101.

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

It is not an unprimeable number, because it can be changed into a prime (10100212221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153000519 + ... + 153066518.

It is an arithmetic number, because the mean of its divisors is an integer number (268573825845).

Almost surely, 2^{10100212221000} is an apocalyptic number.

10100212221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212221000 is an abundant number, since it is smaller than the sum of its proper divisors (24277237487160).

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

10100212221000 is a wasteful number, since it uses less digits than its factorization.

10100212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306067072 (or 306067058 counting only the distinct ones).

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

Adding to 10100212221000 its reverse (12221200101), we get a palindrome (10112433421101).

The spelling of 10100212221000 in words is "ten trillion, one hundred billion, two hundred twelve million, two hundred twenty-one thousand".