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102122022110220 = 223257791139079111
BaseRepresentation
bin10111001110000100100010…
…110110100000010000001100
3111101120202210022021211111100
4113032010202312200100030
5101341131400130011340
61001110113113023100
730340033623362640
oct2716044266402014
9441522708254440
10102122022110220
112a5a2785190452
12b553b226b4a90
1344ca0b07b07a8
141b30a373bac20
15bc1665031830
hex5ce122da040c

102122022110220 has 288 divisors, whose sum is σ = 361676958289920. Its totient is φ = 22842750228480.

The previous prime is 102122022110191. The next prime is 102122022110233. The reversal of 102122022110220 is 22011220221201.

It is a happy number.

102122022110220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 220 + 221 + 1 + 0 + 220 = 666.

It is a super-3 number, since 3×1021220221102203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102122022110193 and 102122022110202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6708465 + ... + 15787575.

It is an arithmetic number, because the mean of its divisors is an integer number (1255822771840).

Almost surely, 2102122022110220 is an apocalyptic number.

102122022110220 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 102122022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180838479144960).

102122022110220 is an abundant number, since it is smaller than the sum of its proper divisors (259554936179700).

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

102122022110220 is a wasteful number, since it uses less digits than its factorization.

102122022110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079325 (or 9079320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122022110220 its reverse (22011220221201), we get a palindrome (124133242331421).

The spelling of 102122022110220 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred ten thousand, two hundred twenty".