10100222000 has 160 divisors (see below), whose sum is σ = 26922901824. Its totient is φ = 3634176000.

The previous prime is 10100221997. The next prime is 10100222023. The reversal of 10100222000 is 22200101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131634 + ... + 2136366.

Almost surely, 2^10100222000 is an apocalyptic number.

10100222000 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 10100222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461450912).

10100222000 is an abundant number, since it is smaller than the sum of its proper divisors (16822679824).

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

10100222000 is a wasteful number, since it uses less digits than its factorization.

10100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10100222000 its reverse (22200101), we get a palindrome (10122422101).

The spelling of 10100222000 in words is "ten billion, one hundred million, two hundred twenty-two thousand".