102021212022120 has 192 divisors, whose sum is σ = 336604973552640. Its totient is φ = 26795264064000.

The previous prime is 102021212022077. The next prime is 102021212022199. The reversal of 102021212022120 is 21220212120201.

It is a happy number.

102021212022120 is a `hidden beast` number, since 10 + 202 + 1 + 212 + 0 + 221 + 20 = 666.

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 = 102021212022093 and 102021212022102.

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, 400434 + ... + 14289953.

It is an arithmetic number, because the mean of its divisors is an integer number (1753150903920).

Almost surely, 2^{102021212022120} is an apocalyptic number.

102021212022120 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 102021212022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168302486776320).

102021212022120 is an abundant number, since it is smaller than the sum of its proper divisors (234583761530520).

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

102021212022120 is a wasteful number, since it uses less digits than its factorization.

102021212022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14690696 (or 14690689 counting only the distinct ones).

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

Adding to 102021212022120 its reverse (21220212120201), we get a palindrome (123241424142321).

The spelling of 102021212022120 in words is "one hundred two trillion, twenty-one billion, two hundred twelve million, twenty-two thousand, one hundred twenty".