102000002111220 has 192 divisors, whose sum is σ = 288617700704256. Its totient is φ = 26913463449600.

The previous prime is 102000002111177. The next prime is 102000002111233. The reversal of 102000002111220 is 22111200000201.

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 = 102000002111196 and 102000002111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10679505445 + ... + 10679514995.

It is an arithmetic number, because the mean of its divisors is an integer number (1503217191168).

Almost surely, 2^{102000002111220} is an apocalyptic number.

102000002111220 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 102000002111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144308850352128).

102000002111220 is an abundant number, since it is smaller than the sum of its proper divisors (186617698593036).

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

102000002111220 is a wasteful number, since it uses less digits than its factorization.

102000002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12188 counting only the distinct ones).

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

Adding to 102000002111220 its reverse (22111200000201), we get a palindrome (124111202111421).

The spelling of 102000002111220 in words is "one hundred two trillion, two million, one hundred eleven thousand, two hundred twenty".