102022210000 has 300 divisors, whose sum is σ = 265662460800. Its totient is φ = 37926432000.

The previous prime is 102022209977. The next prime is 102022210001. The reversal of 102022210000 is 12220201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022210001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 212989761 + ... + 212990239.

It is an arithmetic number, because the mean of its divisors is an integer number (885541536).

Almost surely, 2^102022210000 is an apocalyptic number.

102022210000 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 102022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132831230400).

102022210000 is an abundant number, since it is smaller than the sum of its proper divisors (163640250800).

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

102022210000 is an equidigital number, since it uses as much as digits as its factorization.

102022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 564 counting only the distinct ones).

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

Adding to 102022210000 its reverse (12220201), we get a palindrome (102034430201).

The spelling of 102022210000 in words is "one hundred two billion, twenty-two million, two hundred ten thousand".