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102110212010112 = 273435976099319
BaseRepresentation
bin10111001101111001100010…
…111010100011000010000000
3111101112122022020111120211020
4113031321202322203002000
5101340433203233310422
61001100441145345440
730336135146236125
oct2715714272430200
9441478266446736
10102110212010112
112a598774743439
12b551787498280
1344c8c4aaa7c87
141b30236ab274c
15bc11c32c295c
hex5cde62ea3080

102110212010112 has 64 divisors (see below), whose sum is σ = 271236516427200. Its totient is φ = 34035951043584.

The previous prime is 102110212010069. The next prime is 102110212010173. The reversal of 102110212010112 is 211010212011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102110212010091 and 102110212010100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13691589 + ... + 19790907.

It is an arithmetic number, because the mean of its divisors is an integer number (4238070569175).

Almost surely, 2102110212010112 is an apocalyptic number.

102110212010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110212010112 is an abundant number, since it is smaller than the sum of its proper divisors (169126304417088).

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

102110212010112 is an equidigital number, since it uses as much as digits as its factorization.

102110212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142933 (or 6142921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102110212010112 its reverse (211010212011201), we get a palindrome (313120424021313).

The spelling of 102110212010112 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 43597 87194 130791 174388 261582 348776 523164 697552 1046328 1395104 2092656 2790208 4185312 5580416 6099319 8370624 12198638 16741248 18297957 24397276 36595914 48794552 73191828 97589104 146383656 195178208 292767312 390356416 585534624 780712832 1171069248 2342138496 265912010443 531824020886 797736031329 1063648041772 1595472062658 2127296083544 3190944125316 4254592167088 6381888250632 8509184334176 12763776501264 17018368668352 25527553002528 34036737336704 51055106005056 102110212010112