102221110101000 has 256 divisors, whose sum is σ = 348394373683200. Its totient is φ = 24747336288000.

The previous prime is 102221110100939. The next prime is 102221110101013. The reversal of 102221110101000 is 101011122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22291189 + ... + 26482811.

It is an arithmetic number, because the mean of its divisors is an integer number (1360915522200).

Almost surely, 2^{102221110101000} is an apocalyptic number.

102221110101000 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 102221110101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174197186841600).

102221110101000 is an abundant number, since it is smaller than the sum of its proper divisors (246173263582200).

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

102221110101000 is a wasteful number, since it uses less digits than its factorization.

102221110101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192397 (or 4192383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102221110101000 its reverse (101011122201), we get a palindrome (102322121223201).

The spelling of 102221110101000 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred ten million, one hundred one thousand".