102022121022200 has 144 divisors (see below), whose sum is σ = 252609978061320. Its totient is φ = 38311572879360.

The previous prime is 102022121022181. The next prime is 102022121022203. The reversal of 102022121022200 is 2220121220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022121022203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20723567 + ... + 25169633.

Almost surely, 2^{102022121022200} is an apocalyptic number.

102022121022200 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 102022121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126304989030660).

102022121022200 is an abundant number, since it is smaller than the sum of its proper divisors (150587857039120).

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

102022121022200 is a wasteful number, since it uses less digits than its factorization.

102022121022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446514 (or 4446488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102022121022200 its reverse (2220121220201), we get a palindrome (104242242242401).

The spelling of 102022121022200 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, twenty-two thousand, two hundred".