102211200121000 has 128 divisors (see below), whose sum is σ = 239500048788000. Its totient is φ = 40828799692800.

The previous prime is 102211200120899. The next prime is 102211200121003. The reversal of 102211200121000 is 121002112201.

It can be written as a sum of positive squares in 16 ways, for example, as 8889688107364 + 93321512013636 = 2981558^2 + 9660306^2 .

It is a super-2 number, since 2×102211200121000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211200121003) 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, 7073921776 + ... + 7073936224.

Almost surely, 2^{102211200121000} is an apocalyptic number.

102211200121000 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 102211200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750024394000).

102211200121000 is an abundant number, since it is smaller than the sum of its proper divisors (137288848667000).

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

102211200121000 is a wasteful number, since it uses less digits than its factorization.

102211200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211200121000 its reverse (121002112201), we get a palindrome (102332202233201).

The spelling of 102211200121000 in words is "one hundred two trillion, two hundred eleven billion, two hundred million, one hundred twenty-one thousand".