102000110012220 has 384 divisors, whose sum is σ = 342143781396480. Its totient is φ = 22218915962880.

The previous prime is 102000110012147. The next prime is 102000110012243. The reversal of 102000110012220 is 22210011000201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102000110012196 and 102000110012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226332552 + ... + 226782768.

It is an arithmetic number, because the mean of its divisors is an integer number (890999430720).

Almost surely, 2^{102000110012220} is an apocalyptic number.

102000110012220 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 102000110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171071890698240).

102000110012220 is an abundant number, since it is smaller than the sum of its proper divisors (240143671384260).

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

102000110012220 is a wasteful number, since it uses less digits than its factorization.

102000110012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450573 (or 450571 counting only the distinct ones).

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

Adding to 102000110012220 its reverse (22210011000201), we get a palindrome (124210121012421).

The spelling of 102000110012220 in words is "one hundred two trillion, one hundred ten million, twelve thousand, two hundred twenty".