100200222002000 has 160 divisors (see below), whose sum is σ = 258556125634560. Its totient is φ = 37425407846400.

The previous prime is 100200222001991. The next prime is 100200222002003. The reversal of 100200222002000 is 200222002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200222002003) 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, 7284620 + ... + 15920619.

It is an arithmetic number, because the mean of its divisors is an integer number (1615975785216).

Almost surely, 2^{100200222002000} is an apocalyptic number.

100200222002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200222002000 is an abundant number, since it is smaller than the sum of its proper divisors (158355903632560).

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

100200222002000 is a wasteful number, since it uses less digits than its factorization.

100200222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23205406 (or 23205390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 100200222002000 its reverse (200222002001), we get a palindrome (100400444004001).

Subtracting from 100200222002000 its reverse (200222002001), we obtain a palindrome (99999999999999).

The spelling of 100200222002000 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, two thousand".