102266254200 has 192 divisors, whose sum is σ = 346334083200. Its totient is φ = 24756825600.

The previous prime is 102266254193. The next prime is 102266254249. The reversal of 102266254200 is 2452662201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4827231 + ... + 4848369.

It is an arithmetic number, because the mean of its divisors is an integer number (1803823350).

Almost surely, 2^102266254200 is an apocalyptic number.

102266254200 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 102266254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173167041600).

102266254200 is an abundant number, since it is smaller than the sum of its proper divisors (244067829000).

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

102266254200 is a wasteful number, since it uses less digits than its factorization.

102266254200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902 (or 21893 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 102266254200 in words is "one hundred two billion, two hundred sixty-six million, two hundred fifty-four thousand, two hundred".