102213331020 has 144 divisors (see below), whose sum is σ = 318796671648. Its totient is φ = 26489410560.

The previous prime is 102213330991. The next prime is 102213331043. The reversal of 102213331020 is 20133312201.

102213331020 is a `hidden beast` number, since 10 + 221 + 333 + 102 + 0 = 666.

102213331020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102213330984 and 102213331002.

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, 6032160 + ... + 6049080.

Almost surely, 2^102213331020 is an apocalyptic number.

102213331020 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 102213331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159398335824).

102213331020 is an abundant number, since it is smaller than the sum of its proper divisors (216583340628).

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

102213331020 is a wasteful number, since it uses less digits than its factorization.

102213331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102213331020 its reverse (20133312201), we get a palindrome (122346643221).

The spelling of 102213331020 in words is "one hundred two billion, two hundred thirteen million, three hundred thirty-one thousand, twenty".