101202220222200 has 960 divisors, whose sum is σ = 383107718822400. Its totient is φ = 24681515443200.

The previous prime is 101202220222151. The next prime is 101202220222211. The reversal of 101202220222200 is 2222022202101.

101202220222200 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 2 + 220 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1112910735 + ... + 1113001665.

It is an arithmetic number, because the mean of its divisors is an integer number (399070540440).

Almost surely, 2^{101202220222200} is an apocalyptic number.

101202220222200 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 101202220222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191553859411200).

101202220222200 is an abundant number, since it is smaller than the sum of its proper divisors (281905498600200).

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

101202220222200 is a wasteful number, since it uses less digits than its factorization.

101202220222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91114 (or 91096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101202220222200 its reverse (2222022202101), we get a palindrome (103424242424301).

The spelling of 101202220222200 in words is "one hundred one trillion, two hundred two billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".