102188099712 has 128 divisors (see below), whose sum is σ = 274079010240. Its totient is φ = 33732661248.

The previous prime is 102188099701. The next prime is 102188099723. The reversal of 102188099712 is 217990881201.

It is an interprime number because it is at equal distance from previous prime (102188099701) and next prime (102188099723).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19108623 + ... + 19113969.

Almost surely, 2^102188099712 is an apocalyptic number.

102188099712 is a gapful number since it is divisible by the number (12) 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 102188099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137039505120).

102188099712 is an abundant number, since it is smaller than the sum of its proper divisors (171890910528).

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

102188099712 is a wasteful number, since it uses less digits than its factorization.

102188099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 102188099712 in words is "one hundred two billion, one hundred eighty-eight million, ninety-nine thousand, seven hundred twelve".