102169958220 has 432 divisors, whose sum is σ = 351726735360. Its totient is φ = 23974030080.

The previous prime is 102169958201. The next prime is 102169958227. The reversal of 102169958220 is 22859961201.

It is a happy number.

102169958220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 69 + 9 + 582 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102169958227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118940151 + ... + 118941009.

Almost surely, 2^102169958220 is an apocalyptic number.

102169958220 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 102169958220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175863367680).

102169958220 is an abundant number, since it is smaller than the sum of its proper divisors (249556777140).

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

102169958220 is a wasteful number, since it uses less digits than its factorization.

102169958220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102169958220 in words is "one hundred two billion, one hundred sixty-nine million, nine hundred fifty-eight thousand, two hundred twenty".