102211102110000 has 1600 divisors, whose sum is σ = 387066161180160. Its totient is φ = 23016960000000.

The previous prime is 102211102109953. The next prime is 102211102110001. The reversal of 102211102110000 is 11201112201.

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

It is not an unprimeable number, because it can be changed into a prime (102211102110001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30684808335 + ... + 30684811665.

Almost surely, 2^{102211102110000} is an apocalyptic number.

102211102110000 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 102211102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193533080590080).

102211102110000 is an abundant number, since it is smaller than the sum of its proper divisors (284855059070160).

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

102211102110000 is a wasteful number, since it uses less digits than its factorization.

102211102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211102110000 its reverse (11201112201), we get a palindrome (102222303222201).

The spelling of 102211102110000 in words is "one hundred two trillion, two hundred eleven billion, one hundred two million, one hundred ten thousand".