100022003213000 has 128 divisors (see below), whose sum is σ = 257671365494400. Its totient is φ = 36037952352000.

The previous prime is 100022003212969. The next prime is 100022003213017. The reversal of 100022003213000 is 312300220001.

It is a happy number.

It is a super-2 number, since 2×100022003213000² (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, 40511594 + ... + 42909593.

It is an arithmetic number, because the mean of its divisors is an integer number (2013057542925).

Almost surely, 2^{100022003213000} is an apocalyptic number.

100022003213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022003213000 is an abundant number, since it is smaller than the sum of its proper divisors (157649362281400).

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

100022003213000 is a wasteful number, since it uses less digits than its factorization.

100022003213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83421328 (or 83421314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100022003213000 its reverse (312300220001), we get a palindrome (100334303433001).

It can be divided in two parts, 10002 and 2003213000, that added together give a palindrome (2003223002).

The spelling of 100022003213000 in words is "one hundred trillion, twenty-two billion, three million, two hundred thirteen thousand".