102211122000 has 160 divisors (see below), whose sum is σ = 354877286400. Its totient is φ = 25159641600.

The previous prime is 102211121989. The next prime is 102211122001. The reversal of 102211122000 is 221112201.

It is a super-2 number, since 2×102211122000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577200 + ... + 733199.

It is an arithmetic number, because the mean of its divisors is an integer number (2217983040).

Almost surely, 2^102211122000 is an apocalyptic number.

102211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211122000 is an abundant number, since it is smaller than the sum of its proper divisors (252666164400).

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

102211122000 is a wasteful number, since it uses less digits than its factorization.

102211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310438 (or 1310422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102211122000 its reverse (221112201), we get a palindrome (102432234201).

The spelling of 102211122000 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-two thousand".