102202211020 has 192 divisors, whose sum is σ = 268012846080. Its totient is φ = 31874798592.

The previous prime is 102202210987. The next prime is 102202211021. The reversal of 102202211020 is 20112202201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102202211021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93505594 + ... + 93506686.

It is an arithmetic number, because the mean of its divisors is an integer number (1395900240).

Almost surely, 2^102202211020 is an apocalyptic number.

102202211020 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 102202211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134006423040).

102202211020 is an abundant number, since it is smaller than the sum of its proper divisors (165810635060).

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

102202211020 is a wasteful number, since it uses less digits than its factorization.

102202211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202211020 its reverse (20112202201), we get a palindrome (122314413221).

The spelling of 102202211020 in words is "one hundred two billion, two hundred two million, two hundred eleven thousand, twenty".