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102101112222120 = 2332511178914412023
BaseRepresentation
bin10111001101110001000100…
…100001100111000110101000
3111101111202211001122110102100
4113031301010201213012220
5101340311034212101440
61001052334201333400
730335363512305024
oct2715610441470650
9441452731573370
10102101112222120
112a594925095aa0
12b54ba67a97260
1344c812a75983b
141b2da12323384
15bc0d3e484230
hex5cdc448671a8

102101112222120 has 192 divisors, whose sum is σ = 362197222358400. Its totient is φ = 24737947522560.

The previous prime is 102101112222119. The next prime is 102101112222121. The reversal of 102101112222120 is 21222211101201.

102101112222120 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 112 + 222 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (102101112222119) and next prime (102101112222121).

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 = 102101112222093 and 102101112222102.

It is not an unprimeable number, because it can be changed into a prime (102101112222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121572 + ... + 14290451.

It is an arithmetic number, because the mean of its divisors is an integer number (1886443866450).

Almost surely, 2102101112222120 is an apocalyptic number.

102101112222120 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 102101112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181098611179200).

102101112222120 is an abundant number, since it is smaller than the sum of its proper divisors (260096110136280).

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

102101112222120 is a wasteful number, since it uses less digits than its factorization.

102101112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413840 (or 14413833 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102101112222120 its reverse (21222211101201), we get a palindrome (123323323323321).

The spelling of 102101112222120 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".