102213111021120 has 420 divisors, whose sum is σ = 399648544266972. Its totient is φ = 24778935244800.

The previous prime is 102213111021113. The next prime is 102213111021121. The reversal of 102213111021120 is 21120111312201.

It is a happy number.

102213111021120 is a `hidden beast` number, since 1 + 0 + 221 + 311 + 10 + 2 + 1 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39336077335104 + 62877033686016 = 6271848^2 + 7929504^2 .

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 = 102213111021093 and 102213111021102.

It is not an unprimeable number, because it can be changed into a prime (102213111021121) 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 59 ways as a sum of consecutive naturals, for example, 13158751 + ... + 19431390.

Almost surely, 2^{102213111021120} is an apocalyptic number.

102213111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213111021120 is an abundant number, since it is smaller than the sum of its proper divisors (297435433245852).

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

102213111021120 is a wasteful number, since it uses less digits than its factorization.

102213111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32590192 (or 32590162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102213111021120 its reverse (21120111312201), we get a palindrome (123333222333321).

The spelling of 102213111021120 in words is "one hundred two trillion, two hundred thirteen billion, one hundred eleven million, twenty-one thousand, one hundred twenty".