102210222121020 has 384 divisors, whose sum is σ = 348980747136000. Its totient is φ = 24681654789120.

The previous prime is 102210222121003. The next prime is 102210222121031. The reversal of 102210222121020 is 20121222012201.

It is a happy number.

102210222121020 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 2 + 221 + 210 + 20 = 666.

It is a super-2 number, since 2×102210222121020² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210222120984 and 102210222121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161980491 + ... + 162610269.

It is an arithmetic number, because the mean of its divisors is an integer number (908804029000).

Almost surely, 2^{102210222121020} is an apocalyptic number.

102210222121020 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 102210222121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174490373568000).

102210222121020 is an abundant number, since it is smaller than the sum of its proper divisors (246770525014980).

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

102210222121020 is a wasteful number, since it uses less digits than its factorization.

102210222121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630250 (or 630242 counting only the distinct ones).

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

Adding to 102210222121020 its reverse (20121222012201), we get a palindrome (122331444133221).

The spelling of 102210222121020 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty".