10100222200200 has 192 divisors, whose sum is σ = 34306277918400. Its totient is φ = 2437846041600.

The previous prime is 10100222200183. The next prime is 10100222200219. The reversal of 10100222200200 is 200222200101.

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

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, 1829947 + ... + 4852746.

It is an arithmetic number, because the mean of its divisors is an integer number (178678530825).

Almost surely, 2^{10100222200200} is an apocalyptic number.

10100222200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222200200 is an abundant number, since it is smaller than the sum of its proper divisors (24206055718200).

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

10100222200200 is a wasteful number, since it uses less digits than its factorization.

10100222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682952 (or 6682943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10100222200200 its reverse (200222200101), we get a palindrome (10300444400301).

Subtracting from 10100222200200 its reverse (200222200101), we obtain a palindrome (9900000000099).

The spelling of 10100222200200 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, two hundred".