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102101112120120 = 233537415935991579
BaseRepresentation
bin10111001101110001000100…
…100001001110001100111000
3111101111202211001110021111120
4113031301010201032030320
5101340311034200320440
61001052334155225240
730335363511401451
oct2715610441161470
9441452731407446
10102101112120120
112a5949250263a3
12b54ba67a48220
1344c812a722299
141b2da122d8128
15bc0d3e463dd0
hex5cdc4484e338

102101112120120 has 512 divisors, whose sum is σ = 323541630720000. Its totient is φ = 25742004387840.

The previous prime is 102101112120053. The next prime is 102101112120127. The reversal of 102101112120120 is 21021211101201.

It is a happy number.

It is a super-2 number, since 2×1021011121201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102101112120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101112120127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64661881491 + ... + 64661883069.

It is an arithmetic number, because the mean of its divisors is an integer number (631917247500).

Almost surely, 2102101112120120 is an apocalyptic number.

102101112120120 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 102101112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161770815360000).

102101112120120 is an abundant number, since it is smaller than the sum of its proper divisors (221440518599880).

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

102101112120120 is a wasteful number, since it uses less digits than its factorization.

102101112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2859 counting only the distinct ones).

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

Adding to 102101112120120 its reverse (21021211101201), we get a palindrome (123122323221321).

The spelling of 102101112120120 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".