102022122221100 has 360 divisors, whose sum is σ = 331432101831600. Its totient is φ = 27146996121600.

The previous prime is 102022122221099. The next prime is 102022122221101. The reversal of 102022122221100 is 1122221220201.

It is a happy number.

102022122221100 is a `hidden beast` number, since 10 + 2 + 0 + 221 + 222 + 211 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102022122221099) and next prime (102022122221101).

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

It is not an unprimeable number, because it can be changed into a prime (102022122221101) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 10275160936 + ... + 10275170864.

It is an arithmetic number, because the mean of its divisors is an integer number (920644727310).

Almost surely, 2^{102022122221100} is an apocalyptic number.

102022122221100 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 102022122221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165716050915800).

102022122221100 is an abundant number, since it is smaller than the sum of its proper divisors (229409979610500).

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

102022122221100 is a wasteful number, since it uses less digits than its factorization.

102022122221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022122221100 its reverse (1122221220201), we get a palindrome (103144343441301).

The spelling of 102022122221100 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".