102201022000 has 320 divisors, whose sum is σ = 312355150848. Its totient is φ = 31415040000.

The previous prime is 102201021953. The next prime is 102201022009. The reversal of 102201022000 is 220102201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102201022009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11237455 + ... + 11246545.

Almost surely, 2^102201022000 is an apocalyptic number.

102201022000 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 102201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156177575424).

102201022000 is an abundant number, since it is smaller than the sum of its proper divisors (210154128848).

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

102201022000 is a wasteful number, since it uses less digits than its factorization.

102201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102201022000 its reverse (220102201), we get a palindrome (102421124201).

It can be divided in two parts, 10220 and 1022000, that multiplied together give a square (10444840000 = 102200²).

The spelling of 102201022000 in words is "one hundred two billion, two hundred one million, twenty-two thousand".