102220023301020 has 288 divisors, whose sum is σ = 318904835453568. Its totient is φ = 26483900921856.

The previous prime is 102220023301009. The next prime is 102220023301027. The reversal of 102220023301020 is 20103320022201.

102220023301020 is a `hidden beast` number, since 10 + 2 + 220 + 0 + 2 + 330 + 102 + 0 = 666.

It is a super-2 number, since 2×102220023301020² (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 = 102220023300984 and 102220023301002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220023301027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26461303609 + ... + 26461307471.

It is an arithmetic number, because the mean of its divisors is an integer number (1107308456436).

Almost surely, 2^{102220023301020} is an apocalyptic number.

102220023301020 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 102220023301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159452417726784).

102220023301020 is an abundant number, since it is smaller than the sum of its proper divisors (216684812152548).

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

102220023301020 is a wasteful number, since it uses less digits than its factorization.

102220023301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102220023301020 its reverse (20103320022201), we get a palindrome (122323343323221).

The spelling of 102220023301020 in words is "one hundred two trillion, two hundred twenty billion, twenty-three million, three hundred one thousand, twenty".