102022100012000 has 192 divisors, whose sum is σ = 286605500912640. Its totient is φ = 34963444800000.

The previous prime is 102022100011901. The next prime is 102022100012011. The reversal of 102022100012000 is 210001220201.

It is a happy number.

102022100012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62218661 + ... + 63837339.

It is an arithmetic number, because the mean of its divisors is an integer number (1492736983920).

Almost surely, 2^{102022100012000} is an apocalyptic number.

102022100012000 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 102022100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143302750456320).

102022100012000 is an abundant number, since it is smaller than the sum of its proper divisors (184583400900640).

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

102022100012000 is a wasteful number, since it uses less digits than its factorization.

102022100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620962 (or 1620944 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102022100012000 its reverse (210001220201), we get a palindrome (102232101232201).

The spelling of 102022100012000 in words is "one hundred two trillion, twenty-two billion, one hundred million, twelve thousand".