102002211110000 has 100 divisors (see below), whose sum is σ = 247196646652032. Its totient is φ = 40761382848000.

The previous prime is 102002211109957. The next prime is 102002211110003. The reversal of 102002211110000 is 11112200201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×102002211110000⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002211110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5392817 + ... + 15267183.

Almost surely, 2^{102002211110000} is an apocalyptic number.

102002211110000 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 102002211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123598323326016).

102002211110000 is an abundant number, since it is smaller than the sum of its proper divisors (145194435542032).

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

102002211110000 is an equidigital number, since it uses as much as digits as its factorization.

102002211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875428 (or 9875407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102002211110000 its reverse (11112200201), we get a palindrome (102013323310201).

The spelling of 102002211110000 in words is "one hundred two trillion, two billion, two hundred eleven million, one hundred ten thousand".