102211022000 has 80 divisors (see below), whose sum is σ = 255668680800. Its totient is φ = 39474579200.

The previous prime is 102211021993. The next prime is 102211022009. The reversal of 102211022000 is 220112201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102211022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823130 + ... + 939129.

It is an arithmetic number, because the mean of its divisors is an integer number (3195858510).

Almost surely, 2^102211022000 is an apocalyptic number.

102211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211022000 is an abundant number, since it is smaller than the sum of its proper divisors (153457658800).

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

102211022000 is a wasteful number, since it uses less digits than its factorization.

102211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762311 (or 1762295 counting only the distinct ones).

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

Adding to 102211022000 its reverse (220112201), we get a palindrome (102431134201).

The spelling of 102211022000 in words is "one hundred two billion, two hundred eleven million, twenty-two thousand".